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.
Write an equation to model the number of movies, m, you have to watch before you earn a free movie pass.
Let x be the number of movies you have to watch before you earn a free movie pass. Since you earn 4 advantage points for every movie you see, the total advantage points you earn after watching x movies can be represented as:
4x
Since you need 100 advantage points to earn a free movie pass, we can set up the equation:
4x = 100
Now, solve for x:
x = 100 / 4
x = 25
Therefore, the equation to model the number of movies, m, you have to watch before you earn a free movie pass is:
m = x + 40
m = 25 + 40
m = 65