Question

a machine is now worth $141,800 and will be depreciated linearly over a 8-year period, at which time it will be worth $50,840 as scrap.
(a) find the rule of depreciation function f.
(b) what is the domain of f?
(c) what will the machine be worth in 4 years?

(a) find the rule of depreciation function f.
f(x) = - 11370x + 141800 (do not include the $ symbol in your answer.)
(b) what is the domain of f?
0,8 (type your answer in interval notation.)
(c) what will the machine be worth in 4 years?
$\square$

Explanation:

Step1: Identify the depreciation function

We know the depreciation function is \( f(x) = -11370x + 141800 \), where \( x \) represents the number of years.

Step2: Substitute \( x = 4 \) into the function

To find the value of the machine after 4 years, we substitute \( x = 4 \) into the function \( f(x) \).
\[

$$\begin{align*} f(4) &= -11370(4) + 141800 \\ &= -45480 + 141800 \\ &= 96320 \end{align*}$$

\]

Answer:

96320