Question

A new work truck sells for $55,000 and depreciates at $ -6,500 per year. Write a

linear function of the form y=mx+b to represent the value y of the vehicle x years
after purchase. Use your formula to find the value of the truck 5 years after
purchase.
per year.

Answer 1

• y = -6500x +55000
• $22,500 after 5 years

Explanation:

In the formula ...

y = mx + b

the value of m is the change per year, and the value of b is the initial value. Using the given information, the equation is ...

y = -6500x +55000

__

When x=5, the value is ...

y = -6500(5) +55000 = -32500 +55000 = 22500

The value of the truck after 5 years is $22,500.