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The population of a city is about 200,000 and is growing at a rate of 0.6% per year.

A. What multiplier is used to find the new population each year?


B. Estimate the population 4 years from now.

1 Answer

3 votes
A)


\bf \qquad \textit{Amount for Exponential Growth}\\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\to &200000\\ r=rate\to 0.6\%\to (0.6)/(100)\to &0.006\\ t=\textit{elapsed time}\to &t\\ \end{cases} \\\\\\ A=200000(1+0.006)^t\implies A=200000(1.006)^t

B)
\bf A=200000(1.006)^4
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