Question

Use the table to answer the question.

This table is used to determine the value of the car after 5 years, which is currently unknown and represented by the question mark.
Years, x Value of Car, f(x)

1 29, 750.00
2 25, 287.50
3 21, 494.38
4 18, 270.22
5 ?

A car decreases in value after a given number of years. The following function represents the value of the car in dollars with respect to its age, x, in years: f(x)=35,000(.85)x
. Use the input-output table to determine the value of the car after 5 years. Round your answer to the nearest cent.

(1 point)
Rounded to the nearest cent, after 5 years, the value of the car will equal $

Answer 1

Use f(5) = 35,000(0.85)^5.

(0.85)^5 = 0.4437053125, so f(5) = 35,000 × 0.4437053125 = 15,529.6859375.

Rounded to the nearest cent: $15,529.69.