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

Answer:

  4

Step-by-step 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.