Your parents have decided to buy a new Toyota 4Runner for 25,635. According to the dealer, the car will depreciate in value approximately $3,000 per year. Write and solve a linear equation to find how many years it will be until the car is worth $3,135

7.5 years ...

Let the value of the car be represented by V and the amount of years by y.

This gives us the following formula:

V = 25,635 - 3000y

(This is because we start with a value of $25,635 and the value decreases by $3,000 every year 'y')

Now, we want to know when the car is worth $3,135, so we know V = 3,135

Now we can make up our equation:

25,365 - 3,000y = 3,135

Collecting terms gives us:

-3,000y = - 22,500

Finally we divide by - 3,000 to find 'y'

y = - 22,500 / - 3,000 = 7.5

Hence, the car will be worth $3,135 after 7.5 years.