Answer/Step-by-step explanation:
Part A: The initial value is the number on the y-axis when the number on the x-axis is zero. The initial value in this scenario is the number of songs before they are being downloaded. The number Eva starts out with is all the 200 songs she borrowed. Using week 1 to find the rate of change, we can find it by subtracting the number of songs left after week 1 by the initial value. Then, dividing that with 1(week). The slope(rate of change) in this scenario represents how many songs are being downloaded each week. This is better understood as the fraction y/x:
- (200 – 160)
1
This is equal to -40/1 or -40. The rate of change is negative because the number of songs left to download each week is going down.
Part B: y = mx + b. Fill in m with the slope and b with the initial value.
y = -40x + 200