[tex]\bf slope = {{ m}}= \cfrac{rise}{run} \implies
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= 0.01(2)^x \qquad
\begin{cases}
x_1=3\\
x_2=8
\end{cases}\implies \cfrac{f(8)-f(3)}{8-3}
\\\\\\
\cfrac{0.01(2)^8-0.01(2)^3}{8-3}[/tex]
