Question the-gr

2.1 Nonlinear Functions - Exponential growth and decay functions
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The graph shows the predicted value y , in dollars, of a certain sport utility vehicle x years after it is first purchased.

  • The curve is in quadrant 1.
  • The curve trends down gradually from left to right.
  • The curve passes through the following approximate points:
    • (0 comma 23,000)
    • (1 comma 19,320)
    • (3 comma 13,632)
    • (5 comma 9,619)

Which of the following is closest to the predicted value of the sport utility vehicle 3 years after it is first purchased?

A.

$9,619

B.

$13,632

C.

$19,320

D.

$23,000

The graph shows the predicted value y , in dollars, of a certain sport utility vehicle

Easy-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. For the graph shown, the horizontal axis represents the number of years after a certain sport utility vehicle is first purchased, and the vertical axis represents the predicted value, in dollars, of the sport utility vehicle. According to the graph, 3 years after the sport utility vehicle is purchased, the predicted value of the sport utility vehicle is between $10,000 and $15,000. Of the given choices, only $13,632 is between $10,000 and $15,000. Therefore, $13,632 is closest to the predicted value of the sport utility vehicle 3 years after it is first purchased.

Choice A is incorrect. This is closest to the predicted value of the sport utility vehicle 5 years after it is first purchased.

Choice C is incorrect. This is closest to the predicted value of the sport utility vehicle 1 year after it is first purchased.

Choice D is incorrect. This is closest to the predicted value of the sport utility vehicle when it is first purchased.