Question

Gabriel is deciding between two different movie streaming sites to subscribe to. Plan 1 costs $22 per month plus $1 per movie watched. Plan 2 costs $14 per month plus $3 per movie watched.

Create a system of equations to represent this situation. Use the graph below and explain how many movies, would cause the two plans would have an equal monthly cost.

Answer 1

It takes 4 movies for the costs to be equal.

Explanation:

Let y = cost; let x = number of movies.

Plan 1: y = x + 22

Plan 2: y = 3x + 14

System of equations:

y = x + 22

y = 3x + 14

3x + 14 = x + 22

2x = 8

x = 4

Answer: It takes 4 movies for the costs to be equal.