Question

Suppose the distributor charges the artist a $40.00 cost for distribution, and the streaming services pay $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 artists 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

The question is an illustration of a linear equation

• The y-intercept is 40
• The slope is 4
• The equation of the line is $y =4x + 40$
• You pay the distributor after 1 charge
• You pay $750,000 for 177.5 streams

(a) How to calculate the y-intercept

From the question, we have the following parameters:

• Cost of distribution: $40.00
• Rate = $4.00 per unit

The cost of distribution represents the y-intercept, while the rate represents the slope.

Hence, the y-intercept is 40

(b) How to calculate the slope

In (a), we have:

The rate represents the slope.

Hence, the slope is 4

(c) The equation of the line

A linear equation is represented as:

$y = mx + b$

Where:

• m represents the slope
• b represents the y-intercept

Using the results in (a) and (b), the linear equation is:

$y =4x + 40$

See attachment for the graph of the equation

(c) The number of streams you pay the distributor

From the graph, we can see that the line touches the x-axis at the negative x-axis.

This means that, you pay the distributor after 1 charge

(d) The number of streams to pay $750,000

This means that: y = 750.

So, we have:

$y =4x + 40$

$750 = 4x + 40$

Subtract 40 from both sides

$4x = 710$

Divide both sides by 4

$x = 177.5$

Hence, you pay $750,000 for 177.5 streams

Read more about linear equations at:

brainly.com/question/14323743