Solution:
Given:
The table:
The rate of change is gotten by using the slope formula;
![\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ \\ where: \\ x\text{ is the input} \\ y\text{ is the output} \end{gathered}]()
To get the rate of change between inputs -5 and 0

To get the rate of change between inputs 0 and 5

To get the rate of change between inputs 5 and 8

From the calculations, it can be seen that the rate of change for each consecutive point is 9.
Therefore, the average rate of change between consecutive data points in table A is 9.
Thus, the output is a linear function of the input.