A town's population is growing linearly. In 2018 the population was
5~000. By 2020 the population had increased to 7~400.

\begin{enumerate}
\item
  \nbPointsEnumi{3}Give the function \(P(t)\) where \(P\) is the population and \(t\) is
  the number of years since 2018.
\item
  \nbPointsEnumi{2}Use your function \(P(t)\) to predict the population in 2025.
\item
  \nbPointsEnumi{2}According to this model in which year will the population reach 19~400?
\end{enumerate}
