Question

Jasmine needs to rent a car while on vacation. The rental company charges $18.95, plus 19 cents for each mile driven. If Jasmine only has $40 to spend on the car rental, what is the maximum number of miles she can drive?

Jasmine can drive a maximum of _____ miles without the cost of the rental going over $40. Round your answer to the nearest mile.

Answer 1

110 miles

Explanation:

Jasmine will be charged for m miles ...

18.95 + 0.19m

She requires that amount be no greater than $40. So, the inequality she needs to solve is ...

18.95 + 0.19m ≤ 40.00

0.19m ≤ 21.05 . . . . . . . . . . . subtract 18.95

m ≤ 110.79 . . . . . . . . . . . . . . divide by 0.19

It is inappropriate to round to the nearest mile, which is 111 miles. If Jasmine travels that far, the charges will exceed $40.00.

Jasmine can travel a maximum of 110 miles without the cost of the rental going over $40.

_____

Charges for 111 miles would come to $40.04, exceeding Jasmine's budget limit.