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3 years ago

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A ball is thrown upward from the top of a building the function below shows the height of the ball in relation to sea level f(t)

= -16t^2 +32t+90 The average rate of change of f(t) from t=4 seconds to t=6 seconds is ____ feet per second

1 answer:

gavmur [86]3 years ago

6 0

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(t) = -16t^2 +32t+90\quad 
\begin{cases}
t_1=4\\
t_2=6
\end{cases}\implies \cfrac{f(6)-f(4)}{6-4}$

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