Answer:
x is the number of movies seen. x = 5 is the break even point where it does not matter what plan you choose. Over 6 and you should buy a membership.
Explanation:
You want to find out what the break even point is. Let the number of movies you need to see in a month be x
11x = 40 + 3*x Subtract 3x from both sides.
11x - 3x = 40 + 3x - 3x Combine
8x = 40 Divide by 8
8x/8 = 40/8 Simplify
x = 5
If exactly 5 movies are seen, it does not matter which plan you choose. Less than 5 and you should pay 11 dollars per movie.
Over 5, you should use the 40 + 3 dollars per movie. Try 6
11*6 = 66
3(6) + 40 = 18 + 40 = 58
66>58. You should be on the membership plan.