Problema Solution

Jon rented a car from a company that charged a daily rental fee and a mileage charge. He rented the car for 6 days and drove 300 miles and was charged $285. His friend Amanda later rented the same car for 7 days and drove 260 miles and was charged $310. What was the daily rental charge? How much did the company charge per mile?

Answer provided by our tutors

let


d = daily rental charge

m = the charge per mile


Jon rented a car from a company that charged a daily rental fee and a mileage charge. He rented the car for 6 days and drove 300 miles and was charged $285.


6d + 300m = 285


His friend Amanda later rented the same car for 7 days and drove 260 miles and was charged $310.


7d + 260m = 310


by solving the system of equations


6d + 300m = 285

7d + 260m = 310


we find


d = $35


m = $0.25


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the daily rental charge is $35.


the company charge per mile is $0.25.