Question p-t-18
The function gives the estimated number of marine mammals in a certain area, where is the number of years since a study began. What is the best interpretation of in this context?
The estimated number of marine mammals in the area was when the study began.
The estimated number of marine mammals in the area was when the study began.
The estimated number of marine mammals in the area increased by each year during the study.
The estimated number of marine mammals in the area increased by each year during the study.
P t = 1,800 1.02 t The function P gives the estimated number of marine mammals
Medium-difficulty · SAT Math · Nonlinear Functions — Exponential growth and decay functions. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice B is correct. The function gives the estimated number of marine mammals in a certain area, where is the number of years since a study began. Since the value of is the value of when , it follows that means that the value of is when . Since is the number of years since the study began, it follows that is years since the study began, or when the study began. Therefore, the best interpretation of in this context is the estimated number of marine mammals in the area was when the study began.
Choice A is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.
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