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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

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elcharly64

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

[tex]4,200n\ dollars[/tex]

The current value of the truck will be

[tex]V(n)=42,935-4,200n[/tex]

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

[tex]5,135=42,935-4,200n[/tex]

Solving for n

[tex]n=\frac{42,935-5,135}{4,200}[/tex]

n=9 years