Question

Members of a movie rental club pay a $15 annual membership fee and $2 for new release movies. Nonmembers pay $3 for new release movies

a. Write a system of linear equations that represent this situation

b. When is it beneficial to have a membership

Answer 1

a) Let, number of release movies = x
Then, for members of a club it is: = 15 + 2x
For non-members it is: 3x

b) It would be beneficial to have a membership when:
15 + 2x = 3x
15 = 3x-2x
x = 15

It means, It would be beneficial to have a membership when you need to release more than 15 new releases

Hope this helps!