3100/3 or 1033.33
1) Let's find out the average rate of change, between points 2 and 5 using this formula of the average rate of a function:
[tex]\Delta=\frac{f(b)-f(a)}{b-a}\Rightarrow\Delta=\frac{f(5)-f(2)}{5-2}\Rightarrow\Delta=\frac{3125-25}{3}=\frac{3100}{3}or1033.33[/tex]
0. Note that we plugged into that the values of x, and f(2), f(5) of that table.
2) Hence, the average rate of change is 3100/3 or 1033.33 for the given interval.
