Question

To rent a car, a person is charged a daily rate and a fee for each kilometer driven. When Chena rented a car for 15 days and drove 800 km, the charge was $715.00. When she rented the same car for 25 days and drove 2250 km, the charge was $1512.50.

Determine the daily rate and the fee for each kilometer driven. Verify the solution.

Answer 1

To determine the daily rate and the fee for each kilometer driven, set up a system of linear equations and solve. The daily rate is $45 and the fee for each kilometer driven is $0.50.

Step-by-step explanation:

To determine the daily rate and the fee for each kilometer driven, we can set up a system of linear equations.

Let's denote the daily rate as 'r' and the fee for each kilometer driven as 'f'.

From the given information:

15r + 800f = 715.00 (equation 1)

25r + 2250f = 1512.50 (equation 2)

We can solve this system of equations using the method of substitution or elimination.

By solving the equations, we find that the daily rate is $45 and the fee for each kilometer driven is $0.50.