Mike wants to rent a car for his vacation. The rental costs $130 a week plus $0.20 a mile. How far to the nearest mile can Mike travel if he wants to spend $325 at most?

Question

anonymous · Answer

Discount the rental cost from the total cost. What do you get?

anonymous · Answer

There is also the question of how man weeks does this person rent the car for?

anonymous · Answer

To maximize the miles driven, we want to minimize the fixed costs, the weekly rate.
So, let's assume he kept the car for only one week, thereby incuring $130 in rental fees.
This leaves $325-$130=$195 for mileage.
At $0.20/mile, we have $195/($0.20/mile)=975 miles.

anonymous · Answer

Dont assume because then you make an A*SS out of U and ME

anonymous · Answer

Ok.. Let us "assert" that he rented the car for one week. He cannot very well rent the car for zero weeks, and if he rented the car for more than one week, he would have less money left to spend on mileage.

anonymous · Answer

Let x = total miles driven
then
.20x+130=325
.20x=195
x=975 miles