Question

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 $
.

Answer 1

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:

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