Question

What is the rate of change of the function represented by the table?

X
1234
5555
0 0
01
y
4
5

Answer 1

Rate of change, or slope, or rise over run, or ‘m’ is the difference between a pair of y-coordinates over the difference between a pair of x-coordinates.

The formula for rate of change or slope is:

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

All we have to do is take two pairs of coordinates from the table and solve for the slope (m).

Let’s just choose the first two coordinates: (1, 5) and (2, 5).

m=(5-5) / (2-1)

m=(0)/(1)

m=0

So, the rate of change is 0; there is no rate of change. There is 0 rise per 1 unit of run.