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Juan bought a car for $32,560. He knows the car will decrease in value over time. The function rule fx)= 32,560(0.835), where x is the number of years Juan owned the car, can be used to determine thevalue of the car in any given year. The value of the car in different years is shown in the table below.Which of the following is the approximate value of the car in 2020?

Juan bought a car for 32560 He knows the car will decrease in value over time The function rule fx 325600835 where x is the number of years Juan owned the car c class=

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ANSWER

B. $4480

EXPLANATION

We can conclude from the table, that the value of x is the difference between the year in which we want to know the value of the car and 2009, the year it was purchased. Therefore, to find the value of the car in 2020 we have to replace x with 2020-2009,

[tex]f(x)=32,560(0.835)^{2020-2009}=32,560(0.835)^{11}\approx4480[/tex]

Hence, the approximate value of the car in 2020 is $4480.

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