Mathematics, 18.07.2019 11:00 brennae8529
During the first stages of an epidemic, the number of sick people increases exponentially with time. suppose that at = 0 days there are 2 people sick. by the time = 3, 40 people are sick. a) let be the number of sick people at time . find an exponential equation = expressing in terms of . b) how many people will be sick by the time = 6?
Answers: 1
![\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\to &40\\ P=\textit{initial amount}\to &2\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\to &3\\ \end{cases} \\\\\\ 40=2(1+r)^3\implies 20=(1+r)^3\implies \sqrt[3]{20}=1+r \\\\\\ \sqrt[3]{20}-1=r\implies 1.7\approx r\qquad \boxed{A=2(2.7)^t}](/tpl/images/0103/7340/d0010.png)
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