Question

HELP PLEASE

f(x) = 21,000 • .93x, which models the value of Alicia’s car, where x represents the number of years since she purchased the car.
What is the approximate value of Alicia's car after 8 years, rounded to the nearest dollar?
a $12,000
b $11,752
c $11,751
d $11,000

Answer 1

c $11,751

Explanation:

The function that models Alicia's car is

`f(x) = 21000(0.93)^(x)`

where x represents the number of years since she purchased the car.

We want to find the value of Alicia's car after 8 years.

We substitute x=8 into the formula to get:

`f(8) = 21000(0.93)^(8)`

`f(8) = 21000(0.5596)`

`f(8) = 11751.218`

We round to the nearest dollar to get:

`f(8) =11751`

The correct answer is C.