Question

A movie streaming website charges an initial fee of $80, plus $4 for each movie that is streamed. How many movies must be streamed for the average cost per movie to fall to $5?

Answer 1

Answer:

80 movies must be streamed.

Step-by-step explanation:

To find the average cost, you must divide the total cost by the number of movies watched.

When you watch 1 movie, you pay the initial fee of $80 plus a $4 purchase of the film.

The equation is shown as such:

average cost = (total cost)/(number of movies)

Your total cost can be represented as $4x + 80$, while the number of movies is represented as $x$.

You want the average to equal 5, so your equation is shown as follows:

$5 = (4x+80)/x$

simplifying this, we get

$5 = 4 + \frac{80}{x}$

which can then be simplified to

$1 = \frac{80}{x}$

X = 80 movies.