Arianna is deciding between two different movie streaming sites to subscribe to.

Plan A costs $32 per month plus $1 per movie watched. Plan B costs $7 per month plus $2 per movie watched. Let A represent the monthly cost of Plan A if Arianna watches x per month, and let B represent the monthly cost of Plan B if Arianna 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.

Solution:

For the first plan: cost 32$ + $1 per movie == 1.x + $32

For the second plan: cost $7 + $2 pe movie == 2.x + $7

For the two plans have an equal monthly cost.:

x + 32 = 2x + 7

x = 25.

So, if Arianna watch 25 movie monthly, cost is equal for the two plans.