Miguel's insurance compnay will replace his car if repair costs exceed 80% of the cars value. The car resently substained $10,800 worth of damage, but it was not replaced. What was the value of his car.
A)Less than 13,500
B)More than 8640
C)13500
D)Greater than of equal to 13500
0.8x = 10,800
x = ?
So the answer would be C correct?
No. C is not correct. Please reread the problem very carefully.
To answer this question, we need to compare the repair costs to 80% of the car's value. If the repair costs exceed 80% of the car's value, then the car will be replaced.
Let's assume the value of Miguel's car is V dollars. According to the information given, the repair costs were $10,800, and the car was not replaced. This means that the repair costs did not exceed 80% of the car's value.
Mathematically, we can express this as:
$10,800 < 0.80V
Now we can solve this inequality to determine the value of Miguel's car by dividing both sides of the inequality by 0.80:
$10,800 / 0.80 < V
$13,500 < V
This means that the value of Miguel's car is greater than $13,500.
Therefore, the correct answer is:
D) Greater than or equal to $13,500.