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

80 movies must be streamed.

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 + (80)/(x)`

which can then be simplified to

`1 = (80)/(x)`

X = 80 movies.