Question

the manufacturers suggested retail price (msrp) for a particular car is $25,430, and it is expected to be worth $19,970 in 2 years.
(a) find a linear depreciation function for this car
(b) estimate the value of the car 3 years from now
(c) at what rate is the car depreciating?

(a) what is the linear depreciation function for this car?
f(x) = -2730x + 25430
(simplify your answer. do not include the $ symbol in your answer.)
(b) what is the estimated value of the car 3 years from now?
$□

Explanation:

Step1: Identify the linear function

We have the linear depreciation function \( f(x) = -2730x + 25430 \), where \( x \) represents the number of years.

Step2: Substitute \( x = 3 \) into the function

To find the value of the car 3 years from now, we substitute \( x = 3 \) into \( f(x) \):
\[

$$\begin{align*} f(3) &= -2730(3) + 25430 \\ &= -8190 + 25430 \\ &= 17240 \end{align*}$$

\]

Answer:

17240