Question

Discount Rental Cars charges a daily fee plus a mileage fee for renting its cars. Barney was charged $145.00 for 3 days and 200 miles, while Mary was charged $275.50 for 5 days and 430 miles. What does Discount Rental Cars charge per day and per mile?

Answer 1

The charge per day is $25 and the charge per mile is $0.35

Explanation:

Let

x -----> the charge per day

y ----> the charge per mile

we know that

3x+200y=145 -----> equation A

5x+430y=275.50 -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The intersection point is (25,0.35)

see the attached figure

therefore

The charge per day is $25 and the charge per mile is $0.35