Question

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?

Answer 1

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 $0.80x + 75 = 0.90x$

When we subtract $0.80x$ from both sides: $0.10 \times = 75$

Divide both sides by $0.1$: $x = 750$

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