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

Respuesta :

Answer:

c $11,751

Step-by-step explanation:

The function that models Alicia's car is

[tex]f(x) = 21000(0.93)^{x} [/tex]

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:

[tex]f(8) = 21000(0.93)^{8} [/tex]

[tex]f(8) = 21000(0.5596)[/tex]

[tex]f(8) = 11751.218[/tex]

We round to the nearest dollar to get:

[tex]f(8) =11751[/tex]

The correct answer is C.