[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=2\\
x_2=10
\end{cases}\implies \cfrac{f(10)-f(2)}{10-2}
\\\\\\
\cfrac{0.01(2)^{10}~~-~~0.01(2)^2}{8}\implies \cfrac{10.24~~-~~0.04}{8}\\\\\\ \cfrac{10.20}{8}\implies 1.275[/tex]
