Question f-x-30
A conservation scientist implemented a program to reduce the population of a certain species in an area. The given function estimates this species' population years after , where . Which of the following is the best interpretation of in this context?
The estimated percent decrease in the population for this species and area every years after
The estimated percent decrease in the population for this species and area each year after
The estimated population for this species and area years after
The estimated initial population for this species and area in
f x = 3,000 0.75 x A conservation scientist implemented a program to reduce the population
Hard-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 D is correct. Substituting for in the given equation yields , which is equivalent to , or . It’s given that the function estimates the species’ population years after , so it follows that the estimated population of the species is in . Therefore, the best interpretation of in this context is the estimated initial population for this species and area in .
Choice A is incorrect and may result from conceptual errors.
Choice B is incorrect. The estimated percent decrease in the population for this species and area each year after is , not .
Choice C is incorrect. The estimated population for this species and area years after is , or approximately , not .
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