Math Question
![2. [0/6 Points]
LARCOLALG10 5.5.029.
The populations \( P \) (in thousands) of a particular county from 1971 through 2014 can be modeled by
\[
P=73.4 e^{0.0344 t}
\]
where \( t \) represents the year, with \( t=1 \) corresponding to 1971 .
(a) Use the model to complete the table. (Round your answers to the nearest whole number.)
\begin{tabular}{|l|l|}
\hline Year & Population \\
\hline 1980 & \\
\hline 1990 & \\
\hline 2000 & \\
\hline 2010 & \\
\hline
\end{tabular}
(b) According to the model, when will the population of the county reach \( 390,000 ? \)
(c) Do you think the model is valid for long-term predictions of the population? Explain.
Yes, the population will continue to grow at this quick rate.
Yes, the population doesn't grow or shrink.
No, the population will continue to grow at this quick rate.
Yes, the population will not continue to grow at this quick rate.
No, the population will not continue to grow at this quick rate.
Need Help?
\begin{tabular}{|l|} \hline Read it \\ \hline \end{tabular}](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/3/5/07bd3009-4b26-4884-9972-b0f5c0bcd578.png "2. [0/6 Points]
LARCOLALG10 5.5.029.
The populations \( P \) (in thousands) of a particular county from 1971 through 2014 can be modeled by
\[
P=73.4 e^{0.0344 t}
\]
where \( t \) represents the year, with \( t=1 \) corresponding to 1971 .
(a) Use the model to complete the table. (Round your answers to the nearest whole number.)
\begin{tabular}{|l|l|}
\hline Year & Population \\
\hline 1980 & \\
\hline 1990 & \\
\hline 2000 & \\
\hline 2010 & \\
\hline
\end{tabular}
(b) According to the model, when will the population of the county reach \( 390,000 ? \)
(c) Do you think the model is valid for long-term predictions of the population? Explain.
Yes, the population will continue to grow at this quick rate.
Yes, the population doesn't grow or shrink.
No, the population will continue to grow at this quick rate.
Yes, the population will not continue to grow at this quick rate.
No, the population will not continue to grow at this quick rate.
Need Help?
\begin{tabular}{|l|} \hline Read it \\ \hline \end{tabular}")
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