The cost per person \((C)\), in dollars, for hiring a function room varies inversely with the number of people \((n)\) attending, since the total venue cost is fixed at $2400.
- Write an equation relating \(C\) and \(n\). (1 mark)
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- Sketch a graph showing the relationship between the number of people and cost per person for \(0<n \leqslant 100\). Label your axes. (2 marks)
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a. \(C=\dfrac{2400}{n}\)
b.
Show Worked Solution
a. \(C=\dfrac{2400}{n}\)
b. \(\text{Table of values:}\)
\(\begin{array}{|c|c|c|c|c|}
\hline \rule{0pt}{2.5ex}\ \ n \ \ \rule[-1ex]{0pt}{0pt}& 20 & \ 40 \ & \ 60 \ & 100 \\
\hline \rule{0pt}{2.5ex}\ \ C \ \ \rule[-1ex]{0pt}{0pt}& 120 & 60 & 40 & 24 \\
\hline
\end{array}\)