Question

Examine the table, which represents a linear function.

What is the rate of change of the function?
Input (x) Output (y)
-5 18
−3 23
−1 28
1 33

Answer 1

I believe it should be 3 23

Answer 2

2.5

Explanation:

The rate of change can be found from the slope formula.

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

Using the first two lines of the table, we find ...

m = (23 -18)/(-3 -(-5)) = 5/2

The rate of change of the function is 5/2 = 2.5.