Digital music distribution provides an opportunity for everyone to get their music heard. In order to get on a service like Spo
tify, one needs to pay for distribution through a service like CDBaby. Suppose the distributor charges the artist $50.00 for distribution, and the streaming service pays $4.50 per one thousand streams.
Model the profit for 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, so your answer should be an ordered pair.
Hint: is the cost a positive number or a negative number for this scenario?
Use the payment per thousand streams to build your slope. What is the slope?
Use the slope-intercept form to give the equation of the line. What is the equation of the line?
Go graph the line by adjusting the sliders below.
After how many streams will you pay for the distributor charges? (round to the nearest thousand)
Challenge Question: A popular artist has 2,000,000,000 streams. How much profit did this generate?
In order to write as a decimal, we need to find a fraction equivalent to with a 100 in the denominator. Notice that if we multiply the numerator and denominator of by 25, we get the equivalent fraction which we can now write as a decimal.
Remember that the hundredths place is two places to the right of the decimal point. Therefore, we can write as 0.25.