SOLUTION: 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 ​$710

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Question 1135450: 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 ​$7100 for repairs on her car after an accident. What can be concluded about the​ blue-book value of the​ car?
The​ 'blue book' value of​ Michelle's car___$____
​(Type an inequality symbol and then an​ integer.)

Found 2 solutions by Theo, greenestamps:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
if the cost of the repair was at least 80% of the blue book value, they would have given her the blue book value of the car rather than repair it.

since they repaired it, you can conclude that the cost of the repair was not greater than or equal to 80% of the blue book value.

since the cost of the repair was $7100, you can conclude that the blue book value of the car must have been greater than 7100 / .8 = 8875.

the blue book value of michelle's car > 8875 should be your solution if i understand this problem correctly.

if the blue book value of michelle's car is > 8875, then 80% of that would be > 7100.











Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Since the insurance company paid for the repairs instead of replacing the vehicle, it must be that 80% of the blue book value of the car was greater than $7100.

So if x is the blue book value,

0.80x+%3E+7100
x+%3E+7100%2F0.80
x+%3E+8875

The blue book value was greater than $8875.