Question

You are a member of your local movie theater's club. Every time you see a movie at the theater, you earn 2 advantage points. When you earn 100 points, you get a free movie pass. Currently, you 40 advantage points. 1. Write an equation to model the number of movies m you have to watch before you earn a free movie pass. 2. solve the equation. Show your work.

Answer 1

1.y=2m+40 y=number of points needed

2.100=2m+40

60=2m

m=30

Answer 2

You need to see 30 more movies to earn 100 points.

Explanation:

You earn 2 advantages points every time you see a movie at the theater.

You need to earn 100 points to get a free movie pass.

Currently, you have 40 advantages points.

If you watch m movies you get = 2m points

You have 40 points so you need = 100 - 40 more points

So the equation will be = 2m = 100 - 40 [after combining like term]

2m = 60 [divide both side by 2]

m = 30

You need to see 30 more movies to earn 100 points.