Jessica needs to rent a car while on vacation. The rental company charges $19.95, plus 15 cents for each mile driven. If Jessica only has $40 to spend on the car rental, what is the maximum number of miles she can drive?

miles ?

Jessica needs to rent a car while on vacation. The rental company charges $19.95, plus 15 cents for each mile driven. If Jessica only has $40 to spend on the car rental, what is the maximum number of miles she can drive?

miles ?

Tutors, please sign in to answer this question.

The total charge for the miles driven will be .15x, where x is the number of miles that were driven.

The flat rate (19.95) plus the charge for miles driven (.15x) will equal 40.

19.95 + .15x = 40 Formula derived from problem

19.95 + .15x - 19.95 = 40 - 19.95 Subtract 19.95 from each side

.15x = 20.05 Simplify

.15x/.15 = 20.05/.15 Divide each side by .15

x = 133.67 Simplify

Since the rental company will likely round up the miles, Jessica will have to limit her driving to 133 miles.

Robert E.

Experienced Physics and Math Tutor

Jamaica, NY

4.9
(511 ratings)

Nikunj P.

Math and Science Specialist, Over 14 Years of Educational Experience

Scarsdale, NY

4.9
(190 ratings)

Christopher A.

Tutor Expert in ACT, SAT, Math, Writing, Excel, Study Skills and More

Far Rockaway, NY

5.0
(614 ratings)