Answer/Step-by-step explanation:
✔️The rate of change can be calculated using the coordinates of any two points on the graph. Let's use (2, 60) and (3, 75):
Rate of change (m) = 15
✅In the context of this situation, the rate of change can be interpreted to be the additional fee per class. Thus, an additional fee per class cost $15.
✔️Initial value is the same as the y-intercept.
To find the y-intercept (b), substitute m = 15, x = 2, and y = 60 into y = mx + b.
Thus:
60 = 15(2) + b
60 = 30 + b
60 - 30 = b
30 = b
b = 30
The initial value/y-intercept = $30
✅In this context, $30 is the start-up fee to cover art supplies.