Question

Sunset rents an SUV at $21.95 plus $0.23 per mile. Sunrise rents the same vehicle for $24.95 plus $0.19 per mile. For what mileage is the cost the same?

Answer 1

I found `75` miles

Explanation:

The linear model describing the two situations are:
Sunset: `y=0.23x+21.95`
Sunrise: `y=0.19x+24.95`
where `x` is miles and `y` the cost:
setting them equal you get:
`0.23x+21.95=0.19x+24.95`
giving:
`0.23x-0.19x=24.95-21.95`

`0.04x=3`
`x=3/0.04=75` miles