Question the-eq
The equation gives the estimated number of employees at a restaurant, where is the number of years since the restaurant opened. Which of the following is the best interpretation of the number in this context?
The estimated number of employees when the restaurant opened
The increase in the estimated number of employees each year
The number of years the restaurant has been open
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 , where and are constants, the initial value of the function—that is, the value of the function when —is and the value of the function increases by a factor of each time increases by . Since the function gives the estimated number of employees at a restaurant and is the number of years since the restaurant opened, the best interpretation of the number in this context is the estimated number of employees when , 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.
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