Question

Use the table to answer the question.


x f(x)
Equation Table
0 32,000
1 29,440
2 27,048.80
3 ?
Sydney bought a new car for $32,000.00. If the car depreciates in value by 8% each year, the situation can be modeled by the equation f(x)=32,000(0.92)x
. Complete the table to find the value of the car to the nearest cent after three years. This table shows function values f(x)
decreasing over time, with a missing value for x=3
.(1 point)
The value of the car after three years is $
.

Answer 1

f(3) = 32,000(0.92)^3 = 24,918.016, so the value after three years is $24,918.02.