The population of a certain town on 1 January 2024 was 2000 people.
Each year the population of this town is modelled to be 1.18 times the population of the previous year.
Let \(t=0\) be 1 January 2024 .
By first completing the table for the indicated years, draw a graph showing how the population is modelled from 1 January 2024 to 1 January 2034. (4 marks)
\begin{array}{|l|c|c|c|c|c|}
\hline
\rule{0pt}{2.5ex}t \ \text{(years since 1 January 2024)} \rule[-1ex]{0pt}{0pt}& \ \ \quad 0 \ \ \quad & \ \ \quad 1 \ \ \quad & \ \ \quad 2 \ \ \quad & \ \ \quad 5 \ \ \quad & \ \ \quad 10 \ \ \quad \\
\hline
\rule{0pt}{2.5ex}\text{Population} \rule[-1ex]{0pt}{0pt}& 2000 & & & & \\
\hline
\end{array}
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\begin{array}{|l|c|c|c|c|c|}
\hline
\rule{0pt}{2.5ex}t \ \text{(years since 1 January 2024)} \rule[-1ex]{0pt}{0pt}& \ \ \quad 0 \quad \ \ & \ \ \quad 1 \ \ \quad & \ \ \quad 2 \ \ \quad & \ \ \quad 5 \ \ \quad & \ \ \quad 10 \ \ \quad \\
\hline
\rule{0pt}{2.5ex}\text{Population} \rule[-1ex]{0pt}{0pt}& 2000 &2360 &2785 &4576 & 10468 \\
\hline
\end{array}
\begin{array}{|l|c|c|c|c|c|}
\hline
\rule{0pt}{2.5ex}t \ \text{(years since 1 January 2024)} \rule[-1ex]{0pt}{0pt}& \ \ \quad 0 \quad \ \ & \ \ \quad 1 \ \ \quad & \ \ \quad 2 \ \ \quad & \ \ \quad 5 \ \ \quad & \ \ \quad 10 \ \ \quad \\
\hline
\rule{0pt}{2.5ex}\text{Population} \rule[-1ex]{0pt}{0pt}& 2000 &2360 &2785 &4576 & 10468 \\
\hline
\end{array}