SAT Math › Describing Roles of Variables & Constants
Hannah is selling candles for a school fundraiser all fall. She sets a goal of selling candles per month. The number of candles she has remaining for the month can be expressed at the end of each week by the equations
, where
is the number of candles and
is the number of weeks she has sold candles this month. What is the meaning of the value
in this equation?
Researchers have modeled the extent of ice loss in Greenland using the equation , where
represents the surface area of Greenland covered by ice, in square kilometers, measured on September 30 of each year,
represents the 12.8% rate at which ice is lost each year, and
represents the number of years that have elapsed since the study began in 1979. What is the meaning of the number
in this equation?
Upon discovering a tree virus in British Columbia, scientists created a model to predict the tree population in a certain forest: , where
represents he number of trees after
months since the virus's discovery, and
represents the original number of trees that existed in the forest when the scientists made the discovery. Assuming that the model is correct, which of the following best describes the impact of the virus on the forest?
Sarah has created an equation to model the amount of money in her savings account. Her net income is $50,000 per year, and her expenses each month are $2,000, so she models her savings at the end of each month using the equation:
In this equation, represents the $21,500 she had in savings when she first began tracking her savings this way, and
represents the number of months that it has been since she started. What is the meaning of the number
in this calculation?
A beekeeper models the number of bees in his colony by the equation , where
represents the number of bees in the colony and
represents the number of months since he began his colony. Based on the model, which of the following statements are true?
I. The number of bees in the colony is decreasing with time.
II. The colony began with over 200 bees.
III. The colony gains an average of 8 bees per year.
In preparation for wrestling tryouts, Trey sets a goal of doing 270 pushups per week. The number of pushups he has remaining for the week can be expressed at the end of each day by the equation , where
is the number of pushups and
is the number of days he has completed his pushups that week. What is the meaning of the value 45 in this equation?
Shawn is purchasing t-shirts for himself and the members of his soccer team. The online vendor uses the formula to represent the total cost a customer pays, inclusive of the price of each shirt plus a one-time shipping fee that is the same regardless of the number of shirts purchased. If
represents the total amount that Shawn will pay for purchasing
shirts, what is the role of the number
in this formula?
A taxi service calculates its fares using the formula , where
is the total fare and
is the total number of miles of the trip. Which of the following best describes the role of the number 2.50?
Archaeologists use the equation above to estimate the height of fossil hominids from the length of their femurs. If represents the estimated height, in centimeters, and
represents the measured femur length, in centimeters, what is role of the humber
in the equation?
A pizzeria uses the equation to predict the number of pizzas,
, that will be ordered for delivery in any given hour based on the number of football games,
, that are being televised during that hour. What is the meaning of the value
in this equation?