Math Question
![The table below shows the population, \( P \), (in thousands) of a town after \( n \) years.
\begin{tabular}{|r|r|r|r|r|r|r|}
\hline\( n \) & 0 & 3 & 7 & 12 & 14 & 19 \\
\hline\( P \) & 2700 & \( 3151.43 \) & \( 4059.8 \) & \( 5595.92 \) & \( 6104.44 \) & \( 7760.66 \) \\
\hline
\end{tabular}
(a) Use your calculator to determine the exponential regression equation \( P \) that models the set of data above. Round the value of \( a \) to two decimal places and round the value of \( b \) to three decimal places. Use the indicated variables.
\[
P=
\]
(b) Based on the regression model, what is the percent increase per year?
(c) Use your regression model to find \( P \) when \( n=13 \). Round your answer to two decimal places.
\[
P=
\] thousand people
(d) Interpret your answer by completing the following sentence.
The population of the town after years is thousand people.
Question Help: - Video
BCalculator](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/3/23/b32df935-9f0b-43da-9a8d-8be96eda57c1.png "The table below shows the population, \( P \), (in thousands) of a town after \( n \) years.
\begin{tabular}{|r|r|r|r|r|r|r|}
\hline\( n \) & 0 & 3 & 7 & 12 & 14 & 19 \\
\hline\( P \) & 2700 & \( 3151.43 \) & \( 4059.8 \) & \( 5595.92 \) & \( 6104.44 \) & \( 7760.66 \) \\
\hline
\end{tabular}
(a) Use your calculator to determine the exponential regression equation \( P \) that models the set of data above. Round the value of \( a \) to two decimal places and round the value of \( b \) to three decimal places. Use the indicated variables.
\[
P=
\]
(b) Based on the regression model, what is the percent increase per year?
(c) Use your regression model to find \( P \) when \( n=13 \). Round your answer to two decimal places.
\[
P=
\] thousand people
(d) Interpret your answer by completing the following sentence.
The population of the town after years is thousand people.
Question Help: - Video
BCalculator")
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