Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.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 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

ANSWERS

1. 40 + 2m = 100

2. 30

EXPLANATION

1. We know that you earn 2 advantage points for every movie you watch. Thus, if you watch m movies, you will get 2m advantage points.

Until now, you have 40 points and you need to have 100 points to earn a free movie pass, The sum of the 2m points from watching m movies and the 40 points you already have must be 100,

$40+2m=100$

2. To solve this equation, first, we have to subtract 40 from both sides of the equation,

$\begin{gathered} 40-40+2m=100-40 \\ 2m=60 \end{gathered}$

And then, divide both sides by 2,

$\begin{gathered} \frac{2m}{2}=\frac{60}{2} \\ m=30 \end{gathered}$

Hence, to earn the free movie pass, you will have to watch 30 movies.