Question

The cost of renting a van for one day includes a flat rental fee plus a charge for each mile the van has driven while it rented. A van that is driven 107 miles costs $97.15. A van that is driven 127 miles costs 106.15. What is the flat rental?

Answer 1

The flat rental is 49$.

Explanation:

We are given the following in the question:

The cost of renting van includes a rental fee and cost for distance traveled.

Let x be the flat rental fee and y be the cost per mile.

A van that is driven 107 miles costs $97.15

Thus, we can write the equation:

`97.15 = x + 107y`

A van that is driven 127 miles costs 106.15.

Thus, we can write the equation:

`106.15 = x + 127y`

Solving the two equations, we get,

`x + 127y - x - 107y = 106.15-97.15\\20y = 9\\y = 0.45\\x + 127(0.45) = 106.15\\x = 106.45-127(0.45) = 49`

Thus, the flat rental is 49$.