Determine the rate of change of the linear function given the table below.

Question

x
-10
-2
-1
0
1
y
-10
-7
-4
-1
2

Answer 1

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

Change in y = y2 - y1
Change in x = x2 - x1

Calculating the values:
Change in y = 2 - (-10) = 12
Change in x = 1 - 0 = 1

Now, we can calculate the rate of change:
Rate of change = Change in y / Change in x
Rate of change = 12 / 1
Rate of change = 12

Therefore, the rate of change of the linear function given the table is 12.