5. A group of eighth-graders at your school is thinking of forming a club whose members rent DVDs. The club would also rent DVDs to non-members but at a higher price.

Question

They decided to create a membership for $20 flat fee and then charge $4 per DVD for members. Non-members could also rent a DVD, but for $5 per DVD.
When would the membership be worth the money? Show all of your work, graphs, equations to answer this question.

Ideas???????

Answer 1

not really

Answer 2

please this is really hard

Answer 3

20 + 4 x = 5 x
x = 20

Answer 4

First, what we know:
membership flat fee: $20
dvd for members: $4
dvd for non-members: $5

Therefore, we know that the two equations are:

members:
y=5x

non-members:
y = 4x+20

if we put these two graphs into desmos.com, we can determine that when students buy more than 100 dvd's the membership is worth it.

So, when students buy more than 100 dvd's the membership is worth it.