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To study population growth in rats, a team of researchers placed a few rats on an uninhabited island with very few predators. The table records their observations over 31 days.

\begin{tabular}{|r|r|}
\hline Day & Rat Population \\
\hline 1 & 4 \\
\hline 12 & 12 \\
\hline 21 & 35 \\
\hline 26 & 62 \\
\hline 28 & 86 \\
\hline 29 & 107 \\
\hline 30 & 115 \\
\hline 31 & 132 \\
\hline
\end{tabular}

The data shows [tex]$\square$[/tex] trend.
Based on the table, we can assume that the rat population on the [tex]$34^{\text{th}}$[/tex] day will [tex]$\square$[/tex].



Answer :

The data shows an exponential trend. Based on the table, we can assume that the rat population on the [tex]\(34^{\text {th}}\)[/tex] day will be approximately [tex]\(1.98 \times 10^{17}\)[/tex].