Linear, Quadratic, & Exponential Models*

Practice Questions

Common Core: High School - Functions › Linear, Quadratic, & Exponential Models*

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1

Certain diseases, such as bovine spongiform encephalopathy (mad cow disease), are caused by prions - misfolded proteins. These prions are irreversibly misfolded and cause subsequent misfolding of healthy proteins when they come into contact with them. Joe ate the meat of a cow with BSE, ingesting prions, and each prion caused the misfolding of a new protein every number of hours, is illustrated by the following function.

where is how many misfolded proteins are present after hours.

What is the function for ?

2

An particular medicine, has a half-life of about hours. If a patient was administered of the drug at , how much is left at ?

Note: The half life formula is

3

Which value for proves that the function will increases faster than the function ?

4

An particular medicine, has a half-life of about hours. If a patient was administered of the drug at , how much is left at ?

Note: The half life formula is

5

Certain diseases, such as bovine spongiform encephalopathy (mad cow disease), are caused by prions - misfolded proteins. These prions are irreversibly misfolded and cause subsequent misfolding of healthy proteins when they come into contact with them. Joe ate the meat of a cow with BSE, ingesting prions, and each prion caused the misfolding of a new protein every number of hours, is illustrated by the following function.

where is how many misfolded proteins are present after hours.

What is the function for ?

6

Which value for proves that the function will increases faster than the function ?

7

What is the function that describes the graph?

Q3

8

Which value for proves that the function will increases faster than the function ?

9

A school's art department spends on art supplies. If the department sells each art piece for each what is the function that represents the net profit of the art department?

10

Determine whether the situation describes a linear or exponential function.

Tina's allowance increases by every month.

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