Problema Solution

twice last month Judy carter rented a car from a rental company and traveled around the southwest on business. The company rents its car for a daily fee, plus an additional charge per mile driven. Judy recalls that her first trip lasted 4 days, she drove 450 miles and the rental fee cost her $239.50. on her second business trip she drove 200 miles in 3 days, and paid $148.00 for rental. find the daily fee, and find the mileage charge

Answer provided by our tutors

let


d = the daily fee

m = the mileage charge (per mile)


First trip lasted 4 days and she drove 450 miles thus the cost can be written as


4d + 450m = 239.50


Second trip lasted 3 days and she drove 200 miles thus the cost can be written as


3d + 200m = 148


by solving the system of equations


4d + 450m = 239.50

3d + 200m = 148


we find


d = $34


m = $0.23


click here to see the step by step solution of the system of equations


Click to see all the steps



the daily fee is $34 and the company is charging $0.23 per mile (mileage charge).