a new car is worth 25,000. It depreciates in value 1,250.00 per year. How many years will it take for the car to be worth 8,500.00

Respuesta :

The answer is 13 and a half years

Hello there!

Answer:

13.2 years

Step-by-step explanation:

In order to solve this problem, we would need to make an equation from it, so it would be much easier.

Lets gather what we know:

The car is worth $25,000

It depreciates(loses) 1,250 per year.

We need to find how many the years it will take for the car to be worth 8,500.

Lets make an equation using y = mx + b

b = Starting value

m = Change in value

y = What we want to find

You would plug 25,000 in b. You would plug -1,250 in m, it would be negative because you're losing money. You would plug 8,500 in y. Your equation should look like this:

8,500 = -1,250x + 25,000

Now, we solve.

[tex]8500 = -1250x+25000\\\\-16500=-1250x\\\\13.2=x[/tex]

When you're done solving, you should get 13.2.

This means that it will take 13.2 years for the car to be worth $8,500.