Question

Andres is deciding between two different movie streaming sites to subscribe to. Plan A costs $12 per month plus $1 per movie watched. Plan B costs $8 per month plus $2 per movie watched. Let A represent the monthly cost of Plan A if Andres watches x per month, and let B represent the monthly cost of Plan B if Andres watches x movies per month. Graph each function and determine the number of monthly movies watched, x, that would make the two plans have an equal monthly cost.

Answer 1

Watching 4 movies per month makes the monthly costs of Plan A and Plan B equal, as evidenced by the intersection point of their cost functions on the graph.D

Andres is comparing two movie streaming plans: Plan A, which charges $12 per month plus $1 per movie, and Plan B, which costs $8 per month plus $2 per movie. Let A represent the monthly cost of Plan A, and B represent the monthly cost of Plan B, both as functions of the number of movies watched, x.

The cost functions can be expressed as follows:

A(x) = 12 + x

B(x) = 8 + 2x

To find the number of movies, x, that would make the two plans have equal monthly costs, we set A(x) equal to B(x) and solve for x:

12 + x = 8 + 2x

x = 4

Therefore, the two plans would have an equal monthly cost when Andres watches 4 movies per month. To visualize this, graphing both functions would show their intersection point at x = 4, indicating the number of movies that makes the costs equal.