Question

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 AA represent the monthly cost of Plan A if Arianna watches xx per month, and let BB represent the monthly cost of Plan B if Arianna watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine the number of monthly movies watched, x,x, that would make the two plans have an equal monthly cost.

Answer 1

25 movies watched

Step-by-step explanation:

Where x is movies watched

AA = 1x + 32

BB = 2x + 7

Answer 2

25 movies

Explanation:

First, create the monthly costs for both plans:

Plan A:

A = x + 32

Plan B:

B = 2x + 7

Set these two expressions equal to each other, and solve for x:

x + 32 = 2x + 7

32 = x + 7

25 = x

So, the two plans will have an equal monthly cost after 25 movies.