Question

Jake, Jonathan and Joshua each have a subscription on different movie websites. On the website Jake buys from, there is no flat fee to use the website but each time you buy a movie it is 50 cents. On Joshua’s website, there is a flat fee of $5 to use the site and each time you buy a movie you must pay 50 cents. On Jonathan’s website, there is a flat fee of $8 to use the site and each time you buy a movie it is 20 cents. Based off the data, how many movies would each person buy to pay the same amount of money from each website? Write a system of linear equations and graph the problem.

Answer 1

Jake

There is no flat fee = $0

To buy a movie = 50 cents = $0.50

Joshua

Flat fee = $5

To buy a movie = 50 cents = $0.50

Jonathan

Flat fee = $8

To buy a movie = 20 cents = $0.20

Then, we have the following expressions:

`\begin{gathered} 0+0.50x \\ 5+0.50z \\ 8+0.20t \end{gathered}`

Next, to pay the same amount of money from each website. This is:

Let y = number of movies

`0.50x=5+0.50z=8+0.20t=y`

So, solve the system:

`\begin{gathered} y=0.50x \\ y=5+0.50z \\ y=8+0.20t \end{gathered}`