Ivy has borrowed 150 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: 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. part b: write an equation in slope-intercept form to model the relationship between x and y.

A) rate of change would be dividing the number of songs wanted (150) by the number of weeks downloading (5)

150/5 = 30

 since the total quantity wanted is becoming less every week the rate of change would be negative so it becomes -30

Initial value is 150, which is the total number of songs they want

B)

 to write an equation find 2 points on the graph the line passes through:

lets use p1(0, 150), p2(1, 120)
calculate the slope:
m = (y2- y1)/(x2 - x1) = (120 - 150)/(1 - 0)
m = -30
and now use line equation in form point-slope:
y - y1 = m(x - x1)
y - 150 = -30(x - 0)
y = -30x + 150

in 4 days he will run   12/14

step-by-step explanation:

answer: the value of x is 7cm

step-by-step explanation: