Solve the problem.
-A construction company buys a truck for $ 36,000. The truck is expected to last 15 years, at which time it will be worth $ 4500. Write a function v(x) that describes the value of the truck at any time during its lifetime. Be sure to state the domain of the function.
A)v(x) = 36 ,000 + 2100t, with domain 0 $\le$ t $\le$ 15
B) v(x) = 36 ,000 - 2500t, with domain 0 $\le$ t $\le$ 15
C) v(x) = 36 ,000 - 2100t, with domain 0 $\le$ t $\le$ 15
D) v(x) = 36 ,000 - 2300t, with domain 0 $\le$ t $\le$ 15

Question

Solve the problem.
-A construction company buys a truck for $ 36,000. The truck is expected to last 15 years, at which time it will be worth $ 4500. Write a function v(x) that describes the value of the truck at any time during its lifetime. Be sure to state the domain of the function.
A)v(x) = 36 ,000 + 2100t, with domain 0 $\le$ t $\le$ 15
B)  v(x) = 36 ,000 - 2500t, with domain 0 $\le$ t $\le$ 15
C) v(x) = 36 ,000 - 2100t, with domain 0 $\le$ t $\le$ 15
D) v(x) = 36 ,000 - 2300t, with domain 0 $\le$ t $\le$ 15

Quizplus · Accepted Answer

The truck depreciates from $36,000 to $4,500 over 15 years, which is a total depreciation of $31,500. Dividing this by 15 years gives a depreciation rate of $2,100 per year. Thus, the value function is $v(x) = 36,000 - 2100t$, with the domain being the lifespan of the truck, $0 \le t \le 15$.

Solve the Problem ≤\le≤ T ≤\le≤ 15 B) V(x) = 36 ,000 - 2500t, with

Solve the Problem $\le$ T $\le$ 15
B) V(x) = 36 ,000 - 2500t, with