The table below represents a linear function. Identify the rate of change of the function.

y
X 1
4 0
8 -1
12 -2
16

1 answer

To find the rate of change of a linear function, we need to find the change in y divided by the change in x.

For the given table, the change in x from X=4 to X=8 is 8-4=4, and the change in y from y=0 to y=-1 is -1-0=-1.

Therefore, the rate of change of the function is (-1)/4 = -1/4 or -0.25.