Question

The given table of values shows a linear relationship.

x 1 3 5 7 9
y 8 14 20 26 32

What is the rate of change for this relationship?
A.
3
B.
-3
C.

D.

Answer 1

The rate of change (slope) for a linear relationship can be found by taking the difference in the y-values divided by the difference in the corresponding x-values.

In this case, the change in y from x=1 to x=9 is 32-8=24, and the change in x is 9-1=8. Therefore, the rate of change is:

rate of change = (change in y) / (change in x) = 24/8 = 3

So the answer is A. 3.