Question

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.

Rounded to the nearest cent, after 5 years, the value of the car will equal

$ __

Answer 1

[AI-generated answer — Bot GPT 3.5]

Plug in x=5 into the function and solve for f(x):

f(5) = 35,000(.85)^5
f(5) ≈ 35,000(0.443705)
f(5) ≈ 15,516.38

After 5 years, the value of the car will be approximately $15,516.38.