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 truck is worth $5,135.

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 = 42,935 — 5,135/ 4,200

n=9 years

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