Question the-eq

1.1 Linear Functions - Rate of change applications
0:00

The equation Et=51.8t gives the estimated number of employees at a restaurant, where t is the number of years since the restaurant opened. Which of the following is the best interpretation of the number 5 in this context?

A.

The estimated number of employees when the restaurant opened

B.

The increase in the estimated number of employees each year

C.

The number of years the restaurant has been open

D.

The percent increase in the estimated number of employees each year

The equation E t = 5 1.8 t gives the estimated number of employees at a

Hard-difficulty · SAT Math · Linear Functions — Rate of change applications. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. For an exponential function of the form Et=abt, where a and b are constants, the initial value of the function—that is, the value of the function when t = 0 —is a and the value of the function increases by a factor of b each time t increases by 1 . Since the function Et=51.8t gives the estimated number of employees at a restaurant and t is the number of years since the restaurant opened, the best interpretation of the number 5 in this context is the estimated number of employees when t = 0 , or when the restaurant opened.

Choice B is incorrect and may result from conceptual errors.

Choice C is incorrect and may result from conceptual errors.

Choice D is incorrect and may result from conceptual errors.