Problema Solution

A couple wishes to rent a car for one day while on vacation. Franks Automobile rental wants $17 per day and 0.19 cents per miles and any part thereafter while coups-for-a-day wants $14 per day and 0.21 cents per mile and any part thereafter. After how many miles would the price to rent from coups exceed the price to rent from Franks?

Answer provided by our tutors

let 'x' be the miles that the car did


Franks Automobile rental will charge: 17 + 0.19*x


Coups-for-a-day rental will charge: 14 + 0.21*x


wee need to find such x that the price to rent from coups exceed the price to rent from Franks


14 + 0.21*x > 17 + 0.19*x


0.21x - 0.19x > 17 - 14


0.02x > 3 divide both sides by 0.02


x > 150


for more then 150 miles the price to rent from coups exceed the price to rent from Franks.