The total number of people who have seen a newly released movie at a particular theater chain follows the model $f(t)=5000\left(1-e^{-.2 t}\right)$, where $f(t)$ is the number of people who have seen the movie after $t$ days. Use a calculator to graph $y=f(t)$ for $0 \leq t \leq 20$, and determine $f^{\prime}(5)$. What does $f^{\prime}(5)$ tell about the situation?

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The Answer of The total number of people who have seen a newly released movie at a particular theater chain follows the model $f(t)=5000\left(1-e^{-.2 t}\right)$, where $f(t)$ is the number of people who have seen the movie after $t$ days. Use a calculator to graph $y=f(t)$ for $0 \leq t \leq 20$, and determine $f^{\prime}(5)$. What does $f^{\prime}(5)$ tell about the situation?

The Total Number of People Who Have Seen a Newly f(t)=5000(1−e−.2t)f(t)=5000\left(1-e^{-.2 t}\right)f(t)=5000(1−e−.2t)

The Total Number of People Who Have Seen a Newly $f(t)=5000\left(1-e^{-.2 t}\right)$