Question

The cost of renting a car is $75/wk plus $0.25/mi traveled during that week. An equation to represent the cost would be y = 75 + 0.25x, where x is the number of miles traveled. If your cost was $96.25, how many miles were you charged for traveling?

Answer 1

Answer:

We know we have to pay $75 per weel plus $0.25 for each mile we traveled, from that, if we call x the miles we have travelled, the total cost would be:

$C = 75 + 0.25x$

As each mile we travel costs $0.25. Now that we have that expression, they ask us how many miles did we travel if we had to pay $96.25.

The only thing we have to do is replacing the C (our total cost) per $96.25 and solve the equation we get:

$96.25=75+0.25x$

$96.25-75=0.25x$

$21.25=0.25x$

$\frac{21.25}{0.25} = x$

$85 = x$

We hve traveled 85 miles.