Question

NEED HELP WITH PART B

gina has borrowed 100 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to
download, y, for a certain number of weeks, X: .picture above
Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and
initial value. (6 points)
Part B: Write an equation in slope-intercept form to model the relations

Answer 1

Part A:

initial value = 100 (total amount of songs to download)

rate of change = -20 songs/week (100-80 and so on)

Part B:

ANSWER: y = -20x + 100

y = mx + b, where m is the slope and b is the y-intercept (or initial value).

Answer 2

y = -20x + 100

Explanation:

As per your requirement For Part B, the solution is

The equation in slope-intercept form to model the relations is below:-

To reach 2 points on the graph the line passes through

lets use p1(0, 100), p2(1, 80)

now we will compute the slope:

`m = ((y2 - y1))/((x2 - x1))`

`m = ((80 - 100))/((1 - 0))`

= -20

and now use line equation in form point-slope:

y - y1 = m(x - x1)

y - 100 = -20(x - 0)

y = -20x + 100