Question

Dreama's Videos charges members $4 to rent each video. If you get a store membership it costs $20 and members only pay $2 to rent a video. For what number of videos is the cost the same? Write and solve an equation. Explain what your answer means? You must answer all of the questions to receive full credit.

Answer 1

The cost is the same at 10 videos.

Your equations are:

4x

2x + 20

The answer, 10, means that there are 10 videos.

Explanation:

First, write out your two equations. It should look like this:

Dreama's Videos: 4x

Membership: 2x + 20

To solve, I keep filling in numbers for x until you get the answer. If you fill in the number 10, for x, you get that it costs $40 for both of them. So, the cost is the same at 10 videos. Your two equations are 4x and 2x + 20. The x represents the number of videos. So, when you get the number 10, it means that there are 10 videos. Hope this helped!

Answer 2

Answer: the rental cost of both members and non members will be the same after x video rentals.

Explanation:

Let x represent the number of videos that would be rented for the costs to be the same.

Dreama's Videos charges non members $4 to rent each video. This means that for a non member, the cost of renting x videos is 4x.

If you get a store membership it costs $20 and members only pay $2 to rent a video. This means that as a member, the cost of renting x videos is

2x + 20

For both costs to be the same, it means that

4x = 2x + 20

4x - 2x =>20

2x = 20

x = 20/2

x = 10