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Question

You are a member of your local movie theater's club. Every time you see a movie at the theater, you earn 4 advantage points. When you earn 100 points, you get a free movie pass. Currently you have 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. The equation to model the number of movies, m, you have to watch before you earn a free movie pass is:

4m + 40 = 100

2. To solve for m:
4m + 40 = 100
Subtract 40 from both sides:
4m = 60
Divide by 4:
m = 15

Therefore, you would have to watch 15 movies to earn a free movie pass.