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The data in the table is going to be plotted on a dual bar chart. Part of the axes are shown below.

If the grid is 18 rows tall, what number should replace A to give the best scale for the vertical axis for this data?

[tex]\[
\begin{tabular}{|c|c|c|}
\cline {2-3} & \multicolumn{2}{|c|}{Number of tickets sold} \\
\cline {2-3} & Adult & Child \\
\hline Cinema & 12 & 34 \\
\hline Theme park & 8 & 14 \\
\hline Theatre & 17 & 10 \\
\hline
\end{tabular}
\][/tex]

Sagot :

GinnyAnswer
To determine the best number to replace 'A' for the vertical axis scale in the bar chart, follow these steps:

1. Identify the maximum number of tickets sold:
- Review the table:
[tex]\[ \begin{array}{|c|c|c|} \hline & \text{Adult} & \text{Child} \\ \hline \text{Cinema} & 12 & 34 \\ \hline \text{Theme Park} & 8 & 14 \\ \hline \text{Theatre} & 17 & 10 \\ \hline \end{array} \][/tex]
- Find the maximum value among all categories:
[tex]\[ \max(12, 34, 8, 14, 17, 10) = 34 \][/tex]

2. Determine the best scale for the vertical axis:
- The total height of the vertical axis is given as 18 rows.
- To find the best scale, divide the maximum number of tickets sold by the total number of rows:
[tex]\[ \text{Scale} = \frac{\text{Maximum number of tickets sold}}{\text{Total rows}} = \frac{34}{18} \approx 1.8888888888888888 \][/tex]

Therefore, the number 'A' that gives the best scale for the vertical axis is 1.8888888888888888. This is used to evenly distribute the number of tickets sold across the 18 rows in the bar chart.
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