Question

The cost to rent a car is $19.50 plus $.25 per mile. If you have $44 to rent a car, what is the greatest number of miles that you can drive?

Answer 1

at 98 miles the cost of the rent a car will reach $44,

Explanation:

The formula for this problem is `c = 19.50 + 0.25m` where `c` is the total cost and `m` is the number of miles driven.

If the total cost can be $44 we can substitute this for `c` and solve for `m` while keeping the equation balanced.

`44 = 19.50 + 0.25m`

`44 - 19.50 = 19.50 + 0.25m - 19.50`

`24.50 = 0.25m`

`24.50/0.25 = (0.25m)/0.25`

`98 = 1m`

`m = 98`