The cost to rent a car is $19.50 plus $.25 per mile. If you have $44.00 to rent a car, what is the greatest number of miles you can drive?

Expert Answers

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Write an inequality for the total cost of the rental.

Cost of the rental = `19.50+0.25x<=44`

where x is the number of miles driven.

Subtract 19.50 from both sides.

`0.25x<=44-19.50`

`0.25x<=24.5`

`x<=24.5/0.25`

`x<=98`

Thus the greatest number of miles you can drive is 98 miles.

Approved by eNotes Editorial Team
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