Answer:
The equation is;
y = 15x + 30
where 15 is the rate of change and 30 is the initial value ( the y-intercept or the y-value when x = 0)
Step-by-step explanation:
When we mean the initial value, we simply mean the value of y when x = 0
This simply refer to the fact that we want to calculate the value of the y intercept
Looking at the plot, the y-intercept can be seen at the value of 30 points earned
The rate of change is simply the slope
to get the value of the slope , we simply are to use the slope equation
Mathematically, we have this as;
m = (y2-y1)/(x2-x1)
so, we simply need to select two different points;
These are (2,60) and (6,120)
So we have the slope as;
m = (120-60)/(6-2) = 60/4 = 15 points per pair of shoes purchased
So writing the equation in the slope intercept form, we have;
y = 15x + 30
