The constant rate of change between two given points on the function is given by,
[tex]R=\frac{\Delta y}{\Delta x}[/tex]
Since it is already mentioned that the rate of change is constant, so we don't need to check that. And the constant rate of change can be evaluated using any 2 pair of points from the table.
5.
Consider the first two points, (1,6) and (2,12).
The constant rate of change is calculated as,
[tex]\begin{gathered} R=\frac{12-6}{2-1} \\ R=\frac{6}{1} \\ R=6 \end{gathered}[/tex]
Thus, the constant rate of change is 6 units in 'y' per unit change in 'x'.
6.
Consider the first two points, (2,18) and (4,36).
The constant rate of change is calculated as,
[tex]\begin{gathered} R=\frac{36-18}{4-2} \\ R=\frac{18}{2} \\ R=\frac{9\cdot2}{2} \\ R=9 \end{gathered}[/tex]
Thus, the constant rate of change is 9 units in 'y' per unit change in 'x'.
