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

Question

x: -3, 1, 5, 9
y: -8, 8, 24, 40

Answer 1

The rate of change of a linear function is determined by the difference in the y-values divided by the difference in the x-values.

For the given table, the difference in the y-values is 8 - (-8) = 16, and the difference in the x-values is 1 - (-3) = 4.

Therefore, the rate of change of the function is 16/4 = 4.