Question

Peggy has been studying a type of bacteria that triples every month. Originally, there were 2 bacterial cells. She wants to know how many there will be after 24 months. Which equation should she use? a24 = 2(3)(24) a24 = 2(3)24 − 1 a24 = 2(3)24 a24 = 2(3)(24 − 1)

Answer 1

The answer is c. a24 = 2(3)^24

Answer 2

if the bacteria is tripling every month, that means, their rate of growth is 200% of whatevere their current is, thus


`\bf \qquad \textit{Amount for Exponential Growth}\\\\ A=I(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &2\\ r=rate\to 200\%\to (200)/(100)\to &200.00\\ t=\textit{elapsed time}\to &24\\ \end{cases} \\\\\\ A=2(3)^(24)`