In a village with 700 inhabitants, 14 of them decide to start a rumour at the same time.

After 15 hours the rumour has been heard by all of the inhabitants.

A linear function is proposed to model this problem.

\begin{enumerate}
\item
  \nbPointsEnumi{5}\textbf{Explain}, why the function

\[f(t) = 45,73 \cdot t + 14\]

could be used to model this problem, what the variables $f$ and $t$ represent
with units, and what the numbers represent.

\item
  \nbPointsEnumi{2}\textbf{Determine} the domain of the function.

\item
  \nbPointsEnumi{3}Use this function to \textbf{calculate} the time taken for
  half of the inhabitants to have heard the rumour.

\item
  \nbPointsEnumi{3}\textbf{Copy} the graph below onto your 5~mm square answer
  paper using a scale of 1~cm for 1~unit on the horizontal axis and 1~cm for
  50~units on the vertical axis.

 \textbf{Draw} the line representing the function $f$ on your copy of the
 graph. One of the points has already been marked for you with an X (the point
 marked O is used later in the question).
\end{enumerate}

\begin{center}
\includegraphics[width=3.90764in,height=3.66667in]{S6P3/2022_June/2022_06_S6P3_ESK_DE_BTest_ExoB3_IMG1.jpg}
\end{center}

\emph{\textbf{\underline{(This question continues on the next page)}}}
