Question

Alex bought a new truck for $42,935. According to the dealer, the truck will depreciate approximately $4,200 per year. Write and solve a linear equation to find how many years until the car is worth $5,135

Answer 1

Answer:

The truck is worth $5,135 when 9 years have passed

Step-by-step explanation:

Initial value of Alex's new truck: $42,935

Loss of value per year: $4,200

If n years passed, the truck would have lost

$4,200n\ dollars$

The current value of the truck will be

$V(n)=42,935-4,200n$

We want to know the value of n at which V is 5,135

$5,135=42,935-4,200n$

Solving for n

$n=\frac{42,935-5,135}{4,200}$

n=9 years