Question

Suppose the distributor charges the artist a $50.00 cost for distribution, and the streaming services pay $ 5.00 per unit. (Note: One unit = 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 the y-intercept. What is the y-intercept?


Hint: the y-intercept is a point on the y axis, so the answer should be an ordered pair

(x,y). Keep in mind that money is being spent, and therefore must be deducted from the profit. If the y-intercept is incorrect, all related numbers will be incorrect.)


2. Use the payment per unit to build the slope. What is the slope?

Answer 1

• 5$ per unit means this is the rate of change
• 50$ is fixed

Equation in slope intercept form

• y=mx+b
• y=5x+50

Slope:-m=5

Y intercept=b=50

Answer 2

The y-intercept of the function is (0, 50) and the slope of the function is 5

How to calculate the slope and y-intercept of a function?

Slope is defined as the rate of change of function. Given the following parameters

Fixed price = $50

If the streaming services pay $ 5.00 per unit, then the rate of change is $5

The required profit for the total number of streams is given as:

P(x) = 50 + 5x

1) The y-intercept is the point where the value of x is zero

P(x) = 50 + 5x

P(0) = 50 + 5(0)

P(0) = 50

Hence the y-intercept of the function is (0, 50)

For the slope

mx = 5x

m = 5

Hence the slope of the function is 5

Learn more on equation of a line here: https://brainly.com/question/13763238

#SPJ6