Use the table to answer the question.
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
(
)
=
35
,
000
(
.85
)
. 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 $
f(5) = 35,000(0.85)^5
f(5) = 35,000(0.4437053125)
f(5) = 15,510.88
After 5 years, the value of the car will equal $15,510.88.