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?

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

Step-by-step 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

21

step-by-step explanation:

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10