Justin will rent a car for the weekend. he can choose one or two plans. the first plan has an initial fee of $75 and cost an additional $0.80 per mile driven. the second plan has no initial fee but costs $0.90 per mile driven. how many miles would justin need to drive for the two plans to cost the same?

To find when their costs will be same, we can set them equal to each other.

While writing the equation, we need to take into account that one plan has a base payment of 75 no matter how much Justin drove. And there are changeable values which are effected by the x, the miles driven by Justin.

So the equation is

When we subtract from both sides:

Divide both sides by :

He needs to drive 750 miles to make 2 plans' cost equal.