General Mathematics $2$ $\newline$ Linear Modelling $\newline$ Assignment $2$ $\newline$ Question $2$ $\newline$ A car park charges the following fees. $\newline$ \begin{tabular}{|c|c|} $\newline$ \hline Time (hours) & Charge (\$) \\$\newline$\hline $ 0-1 $ & nil \\$\newline$\hline $ 1-2 $ & $1$.$50$ \\$\newline$\hline $ 2-3 $ & $3$.$00$ \\$\newline$\hline $ 3-4 $ & $5$.$00$ \\$\newline$\hline $ 4-5 $ & $7$.$00$ \\$\newline$\hline $ 5-6 $ & $10$.$00$ \\$\newline$\hline$\newline$\end{tabular}$\newline$a) Draw a step graph representing the car park charges.$\newline$($3$ marks)$\newline$Question $2$ continues opposite$\newline$Page $3$ of $9$

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Q. General Mathematics

2

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Linear Modelling

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Assignment

2

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Question

2

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A car park charges the following fees.

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\begin{tabular}{|c|c|}

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\hline Time (hours) & Charge (\$) \\$\newline$\hline $ 0-1 $ & nil \\$\newline$\hline $ 1-2 $ & $1$.$50$ \\$\newline$\hline $ 2-3 $ & $3$.$00$ \\$\newline$\hline $ 3-4 $ & $5$.$00$ \\$\newline$\hline $ 4-5 $ & $7$.$00$ \\$\newline$\hline $ 5-6 $ & $10$.$00$ \\$\newline$\hline$\newline$\end{tabular}$\newline$a) Draw a step graph representing the car park charges.$\newline$($3$ marks)$\newline$Question $2$ continues opposite$\newline$Page $3$ of $9$

Label Axes: First, label the x-axis with 'Time (hours)' and the y-axis with 'Charge ( $\$$ )'.
Plot Points: Plot the points for each time interval and corresponding charge: $(0,0)$ , $(1,0)$ , $(1,1.50)$ , $(2,1.50)$ , $(2,3.00)$ , $(3,3.00)$ , $(3,5.00)$ , $(4,5.00)$ , $(4,7.00)$ , $(5,7.00)$ , $(1,0)$ $0$ , $(1,0)$ $1$ .
Draw Horizontal Lines: Draw horizontal lines to represent the charges for each hour interval, starting from the $y$ -value of the previous point to the $x$ -value of the next point.
Connect Points: Connect the points with vertical lines to show the increase in charge at the end of each hour interval.
Create Step Graph: Make sure the graph is a step graph, which means it should have flat sections with jumps at each hour interval where the charge increases.