Building Functions - Common Core: High School - Functions
Card 0 of 20
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms quadruples every 
days and can be modeled by a function 
which depends on 
days. Before the fertilizer is added to the pot, Janet had two blooms. Write a function that models the number of blooms in 
days since the fertilizer was added.
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms quadruples every 
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is two.
The fertilizer produces four blooms every two days. If 
is representing days then the rate of the blooms is,
.
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is four every two days. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is two.
The fertilizer produces four blooms every two days. If
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is four every two days. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
Compare your answer with the correct one above
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms quadruples every two days and can be modeled by a function which depends on days. Before the fertilizer is added to the pot, Janet had three blooms. Write a function that models the number of blooms in days since the fertilizer was added.
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms quadruples every two days and can be modeled by a function
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.MATH.CONTENT.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is three.
The fertilizer produces four blooms every two days. If is representing days then the rate of the blooms is,
.
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is four every two days. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.MATH.CONTENT.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is three.
The fertilizer produces four blooms every two days. If
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is four every two days. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
Compare your answer with the correct one above
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms quadruples every two days and can be modeled by a function which depends on days. Before the fertilizer is added to the pot, Janet had one bloom. Write a function that models the number of blooms in days since the fertilizer was added.
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms quadruples every two days and can be modeled by a function
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is one.
The fertilizer produces four blooms every two days. If is representing days then the rate of the blooms is,
.
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is four every two days. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is one.
The fertilizer produces four blooms every two days. If
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is four every two days. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
Compare your answer with the correct one above
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms quadruples every 
days and can be modeled by a function which depends on days. Before the fertilizer is added to the pot, Janet had seven blooms. Write a function that models the number of blooms in days since the fertilizer was added.
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms quadruples every 
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is seven.
The fertilizer produces four blooms every two days. If is representing days then the rate of the blooms is,
.
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is four every two days. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is seven.
The fertilizer produces four blooms every two days. If
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is four every two days. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
Compare your answer with the correct one above
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms doubles every day and can be modeled by a function which depends on days. Before the fertilizer is added to the pot, Janet had three blooms. Write a function that models the number of blooms in days since the fertilizer was added.
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms doubles every day and can be modeled by a function
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is three.
The fertilizer doubles the blooms every day. If is representing days then the rate of the blooms is,
.
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is two every day. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is three.
The fertilizer doubles the blooms every day. If
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is two every day. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
Compare your answer with the correct one above
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms doubles every day and can be modeled by a function which depends on days. Before the fertilizer is added to the pot, Janet had two blooms. Write a function that models the number of blooms in days since the fertilizer was added.
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms doubles every day and can be modeled by a function
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is two.
The fertilizer doubles the blooms every day. If is representing days then the rate of the blooms is,
.
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is two every day. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is two.
The fertilizer doubles the blooms every day. If
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is two every day. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
Compare your answer with the correct one above
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms doubles every day and can be modeled by a function which depends on days. Before the fertilizer is added to the pot, Janet had five blooms. Write a function that models the number of blooms in days since the fertilizer was added.
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms doubles every day and can be modeled by a function
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is five.
The fertilizer doubles the blooms every day. If is representing days then the rate of the blooms is,
.
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is two every day. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is five.
The fertilizer doubles the blooms every day. If
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is two every day. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
Compare your answer with the correct one above
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms triple every day and can be modeled by a function which depends on days. Before the fertilizer is added to the pot, Janet had two blooms. Write a function that models the number of blooms in days since the fertilizer was added.
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms triple every day and can be modeled by a function
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is two.
The fertilizer triples the blooms every day. If is representing days then the rate of the blooms is,
.
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is three every day. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is two.
The fertilizer triples the blooms every day. If
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is three every day. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
Compare your answer with the correct one above
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms triple every day and can be modeled by a function which depends on days. Before the fertilizer is added to the pot, Janet had four blooms. Write a function that models the number of blooms in days since the fertilizer was added.
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms triple every day and can be modeled by a function
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is four.
The fertilizer triples the blooms every day. If is representing days then the rate of the blooms is,
.
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is three every day. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is four.
The fertilizer triples the blooms every day. If
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is three every day. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
Compare your answer with the correct one above
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms triple every two days and can be modeled by a function which depends on days. Before the fertilizer is added to the pot, Janet had four blooms. Write a function that models the number of blooms in days since the fertilizer was added.
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms triple every two days and can be modeled by a function
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is four.
The fertilizer triples the blooms every two days. If is representing days then the rate of the blooms is,
.
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is three every two days. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is four.
The fertilizer triples the blooms every two days. If
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is three every two days. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
Compare your answer with the correct one above
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms triple every two days and can be modeled by a function which depends on days. Before the fertilizer is added to the pot, Janet had two blooms. Write a function that models the number of blooms in days since the fertilizer was added.
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms triple every two days and can be modeled by a function
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is two.
The fertilizer triples the blooms every two days. If is representing days then the rate of the blooms is,
.
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is three every two days. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is two.
The fertilizer triples the blooms every two days. If
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is three every two days. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
Compare your answer with the correct one above
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms quadruples every 
days and can be modeled by a function which depends on days. Before the fertilizer is added to the pot, Janet had fifteen blooms. Write a function that models the number of blooms in days since the fertilizer was added.
Janet is fertilizing her flowers with a special mixture. Once the mixture is added to the flower pot the flower's blooms quadruples every 
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is fifteen.
The fertilizer produces four blooms every two days. If is representing days then the rate of the blooms is,
.
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is four every two days. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
This particular question is testing one's ability to combine standard functions using arithmetic operations given a real world type of problem. This type of problem tests the ability to identify relationships and form a mathematical model to describe said relationship.
For the purpose of Common Core Standards, combining standard functions using arithmetic operations falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify the information that is given in the question.
Step 3: Use algebraic methods to state mathematical relationships and produce function.
Using the steps outlined above is as follows.
Step 1: Identify what the question is asking for.
This question is asking to find the mathematical function that describes the effect the fertilizer has on the flower pot.
Step 2: Identify the information that is given in the question.
Initial amount of blooms prior to introducing the fertilizer is fifteen.
The fertilizer produces four blooms every two days. If
Notice that this question is talking about a growth rate therefore, we can use the following formula.
The number of blooms that form after the fertilizer is introduced is four every two days. Therefore,
Step 3: Use algebraic methods to state the mathematical relationship and produce the function.
Using the information we found in Step 2 and substituting it into the general formula for growth, we can create the function that represents the effect that the fertilizer has on the flower pot's blooms. Thus arriving at the solution.
Compare your answer with the correct one above
There is an adjustable, cylindrical container in the science lab that is attached to a timer. The container holds a certain gas and the pressure of the gas in the container can be modeled by the function,
where 
is the size of the container.
Every minute the timer adjusts the size of the container and is modeled by the function,
where 
is in minutes.
Find an explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes.
There is an adjustable, cylindrical container in the science lab that is attached to a timer. The container holds a certain gas and the pressure of the gas in the container can be modeled by the function,
where
Every minute the timer adjusts the size of the container and is modeled by the function,
where
Find an explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes.
This question is testing one's ability to compose functions that are modeled by real world situations. Questions like these require in-depth critical reasoning skills and the ability to identify the meaning of composition of functions as they relate to scenarios.
For the purpose of Common Core Standards, composed functions falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify what is given/known from the question.
Step 3: Using algebraic methods creating function to describe relationship.
Step 4: Answer the question.
Following the steps listed above for this particular problem is as follows.
Step 1: Identify what the question is asking for.
The question is asking to find the composition of the two functions.
In other words, find 
.
Step 2: Identify what is given/known from the question.
The two functions are given in mathematical form.
Step 3: Using algebraic methods creating function to describe relationship.
To solve this problem, replace every 
in the pressure function with the entire function 
.
Step 4: Answer the question.
The explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes is,
This question is testing one's ability to compose functions that are modeled by real world situations. Questions like these require in-depth critical reasoning skills and the ability to identify the meaning of composition of functions as they relate to scenarios.
For the purpose of Common Core Standards, composed functions falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify what is given/known from the question.
Step 3: Using algebraic methods creating function to describe relationship.
Step 4: Answer the question.
Following the steps listed above for this particular problem is as follows.
Step 1: Identify what the question is asking for.
The question is asking to find the composition of the two functions.
In other words, find
Step 2: Identify what is given/known from the question.
The two functions are given in mathematical form.
Step 3: Using algebraic methods creating function to describe relationship.
To solve this problem, replace every
Step 4: Answer the question.
The explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes is,
Compare your answer with the correct one above
There is an adjustable, cylindrical container in the science lab that is attached to a timer. The container holds a certain gas and the pressure of the gas in the container can be modeled by the function,
where is the size of the container.
Every minute the timer adjusts the size of the container and is modeled by the function,
where is in minutes.
Find an explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes.
There is an adjustable, cylindrical container in the science lab that is attached to a timer. The container holds a certain gas and the pressure of the gas in the container can be modeled by the function,
where
Every minute the timer adjusts the size of the container and is modeled by the function,
where
Find an explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes.
This question is testing one's ability to compose functions that are modeled by real world situations. Questions like these require in-depth critical reasoning skills and the ability to identify the meaning of composition of functions as they relate to scenarios.
For the purpose of Common Core Standards, composed functions falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify what is given/known from the question.
Step 3: Using algebraic methods creating function to describe relationship.
Step 4: Answer the question.
Following the steps listed above for this particular problem is as follows.
Step 1: Identify what the question is asking for.
The question is asking to find the composition of the two functions.
In other words, find .
Step 2: Identify what is given/known from the question.
The two functions are given in mathematical form.
Step 3: Using algebraic methods creating function to describe relationship.
To solve this problem, replace every in the pressure function with the entire function .
Step 4: Answer the question.
The explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes is,
This question is testing one's ability to compose functions that are modeled by real world situations. Questions like these require in-depth critical reasoning skills and the ability to identify the meaning of composition of functions as they relate to scenarios.
For the purpose of Common Core Standards, composed functions falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify what is given/known from the question.
Step 3: Using algebraic methods creating function to describe relationship.
Step 4: Answer the question.
Following the steps listed above for this particular problem is as follows.
Step 1: Identify what the question is asking for.
The question is asking to find the composition of the two functions.
In other words, find
Step 2: Identify what is given/known from the question.
The two functions are given in mathematical form.
Step 3: Using algebraic methods creating function to describe relationship.
To solve this problem, replace every
Step 4: Answer the question.
The explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes is,
Compare your answer with the correct one above
There is an adjustable, cylindrical container in the science lab that is attached to a timer. The container holds a certain gas and the pressure of the gas in the container can be modeled by the function,
where is the size of the container.
Every minute the timer adjusts the size of the container and is modeled by the function,
where is in minutes.
Find an explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes.
There is an adjustable, cylindrical container in the science lab that is attached to a timer. The container holds a certain gas and the pressure of the gas in the container can be modeled by the function,
where
Every minute the timer adjusts the size of the container and is modeled by the function,
where
Find an explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes.
This question is testing one's ability to compose functions that are modeled by real world situations. Questions like these require in-depth critical reasoning skills and the ability to identify the meaning of composition of functions as they relate to scenarios.
For the purpose of Common Core Standards, composed functions falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify what is given/known from the question.
Step 3: Using algebraic methods creating function to describe relationship.
Step 4: Answer the question.
Following the steps listed above for this particular problem is as follows.
Step 1: Identify what the question is asking for.
The question is asking to find the composition of the two functions.
In other words, find .
Step 2: Identify what is given/known from the question.
The two functions are given in mathematical form.
Step 3: Using algebraic methods creating function to describe relationship.
To solve this problem, replace every in the pressure function with the entire function .
Step 4: Answer the question.
The explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes is,
This question is testing one's ability to compose functions that are modeled by real world situations. Questions like these require in-depth critical reasoning skills and the ability to identify the meaning of composition of functions as they relate to scenarios.
For the purpose of Common Core Standards, composed functions falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify what is given/known from the question.
Step 3: Using algebraic methods creating function to describe relationship.
Step 4: Answer the question.
Following the steps listed above for this particular problem is as follows.
Step 1: Identify what the question is asking for.
The question is asking to find the composition of the two functions.
In other words, find
Step 2: Identify what is given/known from the question.
The two functions are given in mathematical form.
Step 3: Using algebraic methods creating function to describe relationship.
To solve this problem, replace every
Step 4: Answer the question.
The explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes is,
Compare your answer with the correct one above
There is an adjustable, cylindrical container in the science lab that is attached to a timer. The container holds a certain gas and the pressure of the gas in the container can be modeled by the function,
where is the size of the container.
Every minute the timer adjusts the size of the container and is modeled by the function,
where is in minutes.
Find an explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes.
There is an adjustable, cylindrical container in the science lab that is attached to a timer. The container holds a certain gas and the pressure of the gas in the container can be modeled by the function,
where
Every minute the timer adjusts the size of the container and is modeled by the function,
where
Find an explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes.
This question is testing one's ability to compose functions that are modeled by real world situations. Questions like these require in-depth critical reasoning skills and the ability to identify the meaning of composition of functions as they relate to scenarios.
For the purpose of Common Core Standards, composed functions falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify what is given/known from the question.
Step 3: Using algebraic methods creating function to describe relationship.
Step 4: Answer the question.
Following the steps listed above for this particular problem is as follows.
Step 1: Identify what the question is asking for.
The question is asking to find the composition of the two functions.
In other words, find .
Step 2: Identify what is given/known from the question.
The two functions are given in mathematical form.
Step 3: Using algebraic methods creating function to describe relationship.
To solve this problem, replace every in the pressure function with the entire function .
Step 4: Answer the question.
The explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes is,
This question is testing one's ability to compose functions that are modeled by real world situations. Questions like these require in-depth critical reasoning skills and the ability to identify the meaning of composition of functions as they relate to scenarios.
For the purpose of Common Core Standards, composed functions falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify what is given/known from the question.
Step 3: Using algebraic methods creating function to describe relationship.
Step 4: Answer the question.
Following the steps listed above for this particular problem is as follows.
Step 1: Identify what the question is asking for.
The question is asking to find the composition of the two functions.
In other words, find
Step 2: Identify what is given/known from the question.
The two functions are given in mathematical form.
Step 3: Using algebraic methods creating function to describe relationship.
To solve this problem, replace every
Step 4: Answer the question.
The explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes is,
Compare your answer with the correct one above
There is an adjustable, cylindrical container in the science lab that is attached to a timer. The container holds a certain gas and the pressure of the gas in the container can be modeled by the function,
where is the size of the container.
Every minute the timer adjusts the size of the container and is modeled by the function,
where is in minutes.
Find an explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes.
There is an adjustable, cylindrical container in the science lab that is attached to a timer. The container holds a certain gas and the pressure of the gas in the container can be modeled by the function,
where
Every minute the timer adjusts the size of the container and is modeled by the function,
where
Find an explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes.
This question is testing one's ability to compose functions that are modeled by real world situations. Questions like these require in-depth critical reasoning skills and the ability to identify the meaning of composition of functions as they relate to scenarios.
For the purpose of Common Core Standards, composed functions falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify what is given/known from the question.
Step 3: Using algebraic methods creating function to describe relationship.
Step 4: Answer the question.
Following the steps listed above for this particular problem is as follows.
Step 1: Identify what the question is asking for.
The question is asking to find the composition of the two functions.
In other words, find .
Step 2: Identify what is given/known from the question.
The two functions are given in mathematical form.
Step 3: Using algebraic methods creating function to describe relationship.
To solve this problem, replace every in the pressure function with the entire function .
Step 4: Answer the question.
The explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes is,
This question is testing one's ability to compose functions that are modeled by real world situations. Questions like these require in-depth critical reasoning skills and the ability to identify the meaning of composition of functions as they relate to scenarios.
For the purpose of Common Core Standards, composed functions falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify what is given/known from the question.
Step 3: Using algebraic methods creating function to describe relationship.
Step 4: Answer the question.
Following the steps listed above for this particular problem is as follows.
Step 1: Identify what the question is asking for.
The question is asking to find the composition of the two functions.
In other words, find
Step 2: Identify what is given/known from the question.
The two functions are given in mathematical form.
Step 3: Using algebraic methods creating function to describe relationship.
To solve this problem, replace every
Step 4: Answer the question.
The explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes is,
Compare your answer with the correct one above
There is an adjustable, cylindrical container in the science lab that is attached to a timer. The container holds a certain gas and the pressure of the gas in the container can be modeled by the function,
where is the size of the container.
Every minute the timer adjusts the size of the container and is modeled by the function,
where is in minutes.
Find an explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes.
There is an adjustable, cylindrical container in the science lab that is attached to a timer. The container holds a certain gas and the pressure of the gas in the container can be modeled by the function,
where
Every minute the timer adjusts the size of the container and is modeled by the function,
where
Find an explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes.
This question is testing one's ability to compose functions that are modeled by real world situations. Questions like these require in-depth critical reasoning skills and the ability to identify the meaning of composition of functions as they relate to scenarios.
For the purpose of Common Core Standards, composed functions falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify what is given/known from the question.
Step 3: Using algebraic methods creating function to describe relationship.
Step 4: Answer the question.
Following the steps listed above for this particular problem is as follows.
Step 1: Identify what the question is asking for.
The question is asking to find the composition of the two functions.
In other words, find .
Step 2: Identify what is given/known from the question.
The two functions are given in mathematical form.
Step 3: Using algebraic methods creating function to describe relationship.
To solve this problem, replace every in the pressure function with the entire function .
Step 4: Answer the question.
The explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes is,
This question is testing one's ability to compose functions that are modeled by real world situations. Questions like these require in-depth critical reasoning skills and the ability to identify the meaning of composition of functions as they relate to scenarios.
For the purpose of Common Core Standards, composed functions falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify what is given/known from the question.
Step 3: Using algebraic methods creating function to describe relationship.
Step 4: Answer the question.
Following the steps listed above for this particular problem is as follows.
Step 1: Identify what the question is asking for.
The question is asking to find the composition of the two functions.
In other words, find
Step 2: Identify what is given/known from the question.
The two functions are given in mathematical form.
Step 3: Using algebraic methods creating function to describe relationship.
To solve this problem, replace every
Step 4: Answer the question.
The explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes is,
Compare your answer with the correct one above
There is an adjustable, cylindrical container in the science lab that is attached to a timer. The container holds a certain gas and the pressure of the gas in the container can be modeled by the function,
where is the size of the container.
Every minute the timer adjusts the size of the container and is modeled by the function,
where is in minutes.
Find an explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes.
There is an adjustable, cylindrical container in the science lab that is attached to a timer. The container holds a certain gas and the pressure of the gas in the container can be modeled by the function,
where
Every minute the timer adjusts the size of the container and is modeled by the function,
where
Find an explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes.
This question is testing one's ability to compose functions that are modeled by real world situations. Questions like these require in-depth critical reasoning skills and the ability to identify the meaning of composition of functions as they relate to scenarios.
For the purpose of Common Core Standards, composed functions falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify what is given/known from the question.
Step 3: Using algebraic methods creating function to describe relationship.
Step 4: Answer the question.
Following the steps listed above for this particular problem is as follows.
Step 1: Identify what the question is asking for.
The question is asking to find the composition of the two functions.
In other words, find .
Step 2: Identify what is given/known from the question.
The two functions are given in mathematical form.
Step 3: Using algebraic methods creating function to describe relationship.
To solve this problem, replace every in the pressure function with the entire function .
Step 4: Answer the question.
The explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes is,
This question is testing one's ability to compose functions that are modeled by real world situations. Questions like these require in-depth critical reasoning skills and the ability to identify the meaning of composition of functions as they relate to scenarios.
For the purpose of Common Core Standards, composed functions falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify what is given/known from the question.
Step 3: Using algebraic methods creating function to describe relationship.
Step 4: Answer the question.
Following the steps listed above for this particular problem is as follows.
Step 1: Identify what the question is asking for.
The question is asking to find the composition of the two functions.
In other words, find
Step 2: Identify what is given/known from the question.
The two functions are given in mathematical form.
Step 3: Using algebraic methods creating function to describe relationship.
To solve this problem, replace every
Step 4: Answer the question.
The explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes is,
Compare your answer with the correct one above
There is an adjustable, cylindrical container in the science lab that is attached to a timer. The container holds a certain gas and the pressure of the gas in the container can be modeled by the function,
where is the size of the container.
Every minute the timer adjusts the size of the container and is modeled by the function,
where is in minutes.
Find an explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes.
There is an adjustable, cylindrical container in the science lab that is attached to a timer. The container holds a certain gas and the pressure of the gas in the container can be modeled by the function,
where
Every minute the timer adjusts the size of the container and is modeled by the function,
where
Find an explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes.
This question is testing one's ability to compose functions that are modeled by real world situations. Questions like these require in-depth critical reasoning skills and the ability to identify the meaning of composition of functions as they relate to scenarios.
For the purpose of Common Core Standards, composed functions falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify what is given/known from the question.
Step 3: Using algebraic methods creating function to describe relationship.
Step 4: Answer the question.
Following the steps listed above for this particular problem is as follows.
Step 1: Identify what the question is asking for.
The question is asking to find the composition of the two functions.
In other words, find .
Step 2: Identify what is given/known from the question.
The two functions are given in mathematical form.
Step 3: Using algebraic methods creating function to describe relationship.
To solve this problem, replace every in the pressure function with the entire function .
Step 4: Answer the question.
The explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes is,
This question is testing one's ability to compose functions that are modeled by real world situations. Questions like these require in-depth critical reasoning skills and the ability to identify the meaning of composition of functions as they relate to scenarios.
For the purpose of Common Core Standards, composed functions falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify what the question is asking for.
Step 2: Identify what is given/known from the question.
Step 3: Using algebraic methods creating function to describe relationship.
Step 4: Answer the question.
Following the steps listed above for this particular problem is as follows.
Step 1: Identify what the question is asking for.
The question is asking to find the composition of the two functions.
In other words, find
Step 2: Identify what is given/known from the question.
The two functions are given in mathematical form.
Step 3: Using algebraic methods creating function to describe relationship.
To solve this problem, replace every
Step 4: Answer the question.
The explicit expression that illustrates the amount of pressure of the gas in the container related to the time in minutes is,
Compare your answer with the correct one above