Mathematics, 19.07.2019 18:00 nadia74
Aball 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), in feet, at different times, t, in seconds: f(t) = −16t2 + 34t + 546 the average rate of change of f(t) from t = 5 seconds to t = 7 seconds is feet per second.
Answers: 2
![\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)= -16t^2+34t+546 \qquad \begin{cases} x_1=5\\ x_2=7 \end{cases}\implies \cfrac{f(7)-f(5)}{7-5} \\\\\\ \cfrac{[-16(7)^2+34(7)+546]~~-~~[-16(5)^2+34(5)+546]}{2} \\\\\\ \cfrac{[0]~~-~~[316]}{2}\implies \cfrac{-316}{2}\implies \cfrac{-158}{1}\implies -158](/tpl/images/0108/7000/8fed7.png)
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