Question

Jonathan is deciding between two different movie streaming sites to subscribe to.Plan A costs $6 per month plus $2 per movie watched. Plan B costs $16 per monthplus $1 per movie watched. Let A represent the monthly cost of Plan A if Jonathanwatches x per month, and let B represent the monthly cost of Plan B if Jonathanwatches movies per month. Graph each function and determine the number ofmonthly movies watched, 2, that would make the two plans have an equal monthlycost.

Answer 1

Gigi, this is the solution to the problem:

This is the information provided to us:

Plan A : $ 6 per month + $ 2 per movie wathced

Plan B : $ 16 per month + $ 1 per movie watched

Step 1: Let's calculate the number of movies that would make the two plans to have an equal monthly payment, as follows:

Let x to represent the number of movies watched by Jonathan

Plan A = Plan B

6 + 2x = 16 + 1x

Like terms:

2x - x = 16 - 6

x = 10

If Jonathan watches 10 movies per month the two plans will have an equal monthly cost

Step 2: Let's graph the functions that represent each plan, this way: