Question

Suppose the distributor charges the artist a $40.00 cost for distribution, and the streaming services pays $4.00 per unit. (Note: One unit = 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 unit 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 $750,000? (Hint: Remember one unit = one thousand streams)
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. Also, remember one unit = one thousand streams).

Answer 1

Given :

Suppose the distributor charges the artist a $40.00 cost for distribution, and the streaming services pays $4.00 per unit

Step-by-step explanation:  

Cost of distribution is the fixed cost . y intercept is the fixed cost.

Distributor charge is 40. So y intercept = 40

Payment per unit is the slope that is 4 per unit.

slope =4

Slope intercept form is $y=mx+b$

Where m is the slope and b is the y intercept.

y intercept b=40. and slope m=4

So the equation of the line is $y=4x+40$

The graph of the line is included below

To find the number of streams that pay for distributor charges , we set

the equation equal to 0 and solve for x

$4x+40=0\\4x=-40\\divide by 4\\x=-10$

10 streams you pay for distributor charges.

Given profit is 750,000. so y=750,000

We need to find out x the number of streams

$y=4x+40\\750000=4x+40\\\\Subtract 40\\divide 4\\x=187,490$

we know that 1 unit = one thousand streams

so , Approximately 187 streams

Answer:

y intercept = 40

slope =4

y=4x+40

10 streams you pay for distributor charges.

187 streams to get  profit $750,000