Digital music distribution provides an opportunity for everyone to get their music heard. In order to get on a service like iTun
es, 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. One of the most important streaming services is SPOTIFY. Suppose the distributor charges the artist a $60.00 cost for distribution, and the streaming services pays $3.00 per one thousand streams.
Model the profit for the total number of streams by answering the questions below:
1.) 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
2.) Use the payment per thousand streams to build your slope. What is the slope?
3.) Use the slope-intercept format (y = mx + b) to give the equation of the line. What is the equation of this line?
4.) Graph the line by adjusting the sliders below. Show your line by attaching an image below.
5.) 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)
6.) How many streams would it take to profit $500,000?
7.) Challenge Question: In 2020, Puerto Rican rapper Bad Bunny claimed the top spot of most streamed artist globally on SPOTIFY, with more than 8.3 billion streams (8,300,000,000) this year from fans around the globe. His album YHLQMDLG—released in late February 2020, featuring collaborations with Sech, Anuel AA, and Daddy Yankee—is the number one streamed album as well. Calculate the profit earned using these numbers. (Hint: use the slope intercept format to build this equation).
The formula for arc length is s = r(theta) Theta must be in radians, so convert 40 degrees to radians, which is 2pi/9. Multiply 2pi/9 by the radius, 9, and then you'll get the answer. Hopes this helps!
