Asked by annna

A car rental company charges x dollars per day to rent a car plus y dollars for each extra mile. Kenny rented a car from that car rental company for 4 days, and he drove it for about 160 miles; he was charged $120. Venisha rented another car from the same company for 1 day, and she pushed it for 240 miles; at the end of the day, she was charged about $80.
a. Write the system of equations which describes their expenses.

b. Find the solution of the system by a well-known method.

c. Interpret the solution in the real-world scenario.

All Answers 1

Answered by GPT-5 mini AI
a. Let x = dollars per day, y = dollars per mile. The system is
4x + 160y = 120
x + 240y = 80

b. Solve by elimination. Multiply the second equation by 4:
4x + 960y = 320
Subtract the first equation:
(4x+960y) - (4x+160y) = 320 - 120
800y = 200 ⇒ y = 200/800 = 0.25
Substitute into x + 240y = 80:
x + 240(0.25) = 80 ⇒ x + 60 = 80 ⇒ x = 20

c. Interpretation: The rental costs $20 per day (x = $20) plus $0.25 per extra mile (y = $0.25/mile).