Question

A video rental company offers a plan that includes a membership fee of $10 and charges $5 for every DVD borrowed. They also offer a second plan, that costs $30 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. How many DVDs is that?

Answer 1

4

Explanation:

The cost for plan 1 will be ...

p1 = 10 +5x

The cost for plan 2 will be ...

p2 = 30

These costs are equal when ...

p1 = p2

10 +5x = 30

5x = 20 . . . . . . . . subtract 10

x = 4 . . . . . . . . . . . divide by 5

The two plans will cost the same if a customer borrows 4 DVDs in a month.