Question

Portland bought a used car for $7,550.00. If the car depreciates in value by 6% each year, the situation can be modeled by the function f(x)=7,550(0.94)x
. Complete the table to find the value of the car to the nearest cent after three years.



x f(x)
0 7,550
1 7,097
2 6,671.18
3 ?


(1 point)
The value of the car after three years is $
.

1 answer

To find the value of the car after three years according to the function \( f(x) = 7,550(0.94)^x \), we can calculate \( f(3) \):

\[ f(3) = 7,550(0.94)^3 \]

First, we need to calculate \( (0.94)^3 \):

\[ (0.94)^3 = 0.830584 \]

Now we can find \( f(3) \):

\[ f(3) = 7,550 \times 0.830584 \approx 6,287.91 \]

Thus, the value of the car after three years is approximately:

\[ \text{The value of the car after three years is } $6,287.91. \]