Question

A rental car company chargea a flat daily fee plus a charge for each mile driven. A car rented for 5 days and driven for 300 miles costs $178, while a car rented for 4 days and driven for 500 miles costs $197. Find the daily fee and the charge fee for each mile driven

Answer 1

5x + 300y = 178
4x + 500y = 197

Multiply the first equation by 5 and the second equation by -3.

25x + 1500y = 890
-12x - 1500y = -591 Subtract.
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13x = 299 Divide.

x = 23.

Solve for y by plugging in 23 for x.

4(23) + 500y = 197

92 + 500y = 197

500y = 105

y = .21


The Daily Fee is $23 and the Charge Fee per mile is $0.21.