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Aleksandr [31]
3 years ago
10

For the graphed exponential equation, calculate the average rate of change of change from x=4 to x=8

Mathematics
1 answer:
Juliette [100K]3 years ago
3 0
If you look at the picture, when

x = 4, y = 20,

and when

x = 8, y = 10

thus

\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}\\\\
-------------------------------\\\\
\begin{cases}
x_1=4\\
x_2=8
\end{cases}\implies \cfrac{f(8)-f(4)}{8-4}\implies \cfrac{10-20}{4}\implies \cfrac{-10}{4}\implies -\cfrac{5}{2}
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