Question

Find the rate of change from the table of values

Answer 1

The rate of change in this table of values is also the slope. Solve for the slope using any two points in the table. In this instance we will be using (1,5) and (2,6)

`\begin{gathered} (x_1,y_1)=(1,5) \\ (x_2,y_2)=(2,6) \\ \\ m = (y_2 - y_1)/(x_2 - x_1) \\ m = (6 - 5)/(2 - 1) \\ m = (1)/(1) \\ m=1 \end{gathered}`

Therefore, the rate of change is 1.