Question

Most insurance companies will replace a vehicle any time an estimated repair exceeds​ 80% of the​ "blue-book" value of the vehicle.​ Michelle's insurance company paid ​9100$ for repairs on her car after an accident. What can be concluded about the​ blue-book value of the​ car?

Answer 1

Since the insurance still paid for repairs instead of replacing the vehicle, that means 9100 was less than 80% of the blue book value. In other words, that means that the blue book value is greater than $11375.
We can find this out by creating and solving the inequality 9100 < .8x, which represents that 9100 is less than 80% of the blue book value (x). To solve it we divide both sides by .8 to get 11375 > x.