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Mathematics, 26.04.2020 09:15 Jhertz

Digital music distribution provides an opportunity for everyone to get their music heard. In order to get on a service like iTunes, one needs to pay for distribution through a service like Tunecore or CD Baby. These services make sure that your music is heard in the different platforms.

Suppose the distributor charges the artist a $50.00 cost for distribution, and the streaming services pays $4.00 per one thousand streams.

Model the profit for the total number of streams by answering the questions below:

Use the cost for distribution to build your y-intercept. What is the y-intercept?
Hint: the y-intercept is a point on the y axis, so your answer should be an ordered pair.
Hint: you have to keep in mind that any time you pay for something, you are SPENDING money, if your y-intercept is incorrect, all your numbers will be off
Use the payment per thousand streams to build your slope. What is the slope?
Use the slope-intercept format (y = mx + b) to give the equation of the line. What is the equation of this line?
Graph the line by adjusting the sliders below. Show your line by attaching an image below.
After how many streams will you pay for the distributor charges? (hint: this is where the line crosses the x-axis, round to the nearest thousand)
How many streams would it take to profit $300,000?
Challenge Question: In 2019, Old Town Road became one of the most streamed songs of all time passing the previous record holders, Despacito and One Sweet Day. The second week the song was #1, it set an all time streaming record. It was streamed 143 million times (143,000,000) in the US, nearly 30 million higher than the previous record holder Drake, In My Feelings. Calculate the profit earned using these numbers. (Hint: use the slope intercept format to build this equation).

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