Question the-fu

2.1 Nonlinear Functions - Exponential growth and decay functions
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The function f(x)=200,0001.21x gives a company’s predicted annual revenue, in dollars, x years after the company started selling light bulbs online, where 0<x10. What is the best interpretation of the statement “f5 is approximately equal to 518,748 ” in this context?

A.

When the company’s predicted annual revenue is approximately 518,748 dollars, it is 5 % greater than the predicted annual revenue for the previous year.

B.

5 years after the company started selling light bulbs online, its predicted annual revenue will have increased by a total of approximately 518,748 dollars.

C.

When the company’s predicted annual revenue is approximately 518,748 dollars, it is 5 times the predicted annual revenue for the previous year.

D.

5 years after the company started selling light bulbs online, its predicted annual revenue is approximately 518,748 dollars.

The function f ( x ) = 200,000 1.21 x gives a company&rsquo;s predicted annual revenue,

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 A is correct. It's given that the function fx=200,0001.21x gives a company's predicted annual revenue, in dollars, x years after the company started selling light bulbs online. It follows that fx represents the company's predicted annual revenue, in dollars, x years after the company started selling light bulbs online. Since the value of f5 is the value of fx when x=5, it follows that "f5 is approximately equal to 518,748" means that fx is approximately equal to 518,748 when x=5. Therefore, the best interpretation of the statement "f5 is approximately equal to 518,748" in this context is 5 years after the company started selling light bulbs online, its predicted annual revenue is approximately 518,748 dollars.

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.