Please write an equation for each situation, in terms of x, and determine the number of monthly movies watched, x, that would make the two plans have an equal monthly cost.

Question

Damian is deciding between two different movie streaming sites to subscribe to. Plan A costs $33 per month plus $3 per movie watched. Plan B costs $37 per month plus $2 per movie watched. Let A represent the monthly cost of Plan A if Damian watches x per month, and let B represent the monthly cost of Plan B if Damian watches x movies per month. Write an equation for each situation, in terms of x, and determine the number of monthly movies watched, x, that would make the two plans have an equal monthly cost.

Answer 1

33 +3x = 37 +2x

3x-2x = x = 37-33 = 4 movies per month make plans A and B's cost equal