Question

A moving company charges $40 plus $0.10 per mile to rent a moving van. Another company charges $10 plus $0.25 per mile to rent the same van. For how many miles will the cost be the same for the two companies? Write and solve an equation.

Answer 1

We will use an equation to model both costs and set them equal to each other to figure out the value for n.

$40+0.10n=10+0.25n$

$30+0.10n=0.25n$

$30n=0.15n$

$200=n$

At 200 miles, the cost will be the same.