The average rate of a function f(x) over an interval x = a and x = b is given by:
[tex]Average \ Rate \ of \ Change= \frac{f(b)-f(a)}{b-a} [/tex]
Given the function
[tex]f(x)=20(14)^x[/tex]
The average rate of change from x = 1 to x = 2 is given by:
[tex] \frac{f(2)-f(1)}{2-1} = \frac{20(14)^2-20(14)^1}{1} \\ \\ =20(196-14)=20(182)=3,640[/tex]