Gabriel is deciding between two different movie streaming sites to subscribe to. Plan 1 cost $22 per month plus $1 per movie watched. Plan 2 cost $14 per month plus $3 per movie watched. Create a system of equations to represent this situation. Explains how many movies, x, would cause the two plans to have an equal monthly cost.



Answer :

The number of movies that would make the monthly cost equal is 4.

What is the number of movies when the plans' cost would be equal?

The total monthly cost is a function of the cost per month, total movies watched and the cost per movie.

The equations that represent the total cost of using the streaming sites would be in the form:

Total cost = cost per month + (number of movies watched x cost per movie)

Plan 1: $22 + ($x)

Plan 2: $14 + (3x)

When both plans have the same monthly cost, the two above equations would be equal

$22 + x =$14 + 3x

In order to determine the value of x, take the following steps:

Combine similar terms: $22 - $14 = 3x -x

Add similar terms together: $8 = 2x

Divide both sides of the equation by 2: $8 /$ 2 = x

x = 4

To learn more about mathematical equations, please check: https://brainly.com/question/25711114

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