The manager of a cafeteria kept track of the number of each type of lunch sold in October and made this table. Which graph best correctly and completely represents the data in the table?

\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{Lunches Sold in October} \\
\hline Lunch & Number Sold \\
\hline Deli Sandwich & 300 \\
\hline Hamburger & 500 \\
\hline Pasta Plate & 400 \\
\hline Pizza & 650 \\
\hline Soup Combo & 350 \\
\hline
\end{tabular}



Answer :

To represent the data from the table in a graph accurately, we need to ensure that all the types of lunches and their corresponding quantities are displayed. The most suitable types of graphs for this type of data are either a bar chart or a pie chart. Let's break down the data for clarity:

| Lunch Type | Number Sold |
| -------------- | ----------- |
| Deli Sandwich | 300 |
| Hamburger | 500 |
| Pasta Plate | 400 |
| Pizza | 650 |
| Soup Combo | 350 |

Here are the steps to visualize this data using a bar chart:

1. Identify the Variables:
- The different types of lunches (Deli Sandwich, Hamburger, Pasta Plate, Pizza, Soup Combo).
- The number of each type sold.

2. Set up the Axes for a Bar Chart:
- Label the x-axis with the different lunch types.
- Label the y-axis with the number of lunches sold. A suitable scale would be from 0 up to a bit more than the highest quantity (650 in this case).

3. Draw the Bars:
- For each lunch type, draw a bar whose height corresponds to the number sold.
- Make sure the heights of the bars accurately reflect the values:
- Deli Sandwich: a bar extending up to 300 on the y-axis.
- Hamburger: a bar extending up to 500 on the y-axis.
- Pasta Plate: a bar extending up to 400 on the y-axis.
- Pizza: a bar extending up to 650 on the y-axis.
- Soup Combo: a bar extending up to 350 on the y-axis.

4. Label the Bars:
- Label each bar with the lunch type at the bottom.
- Optionally, write the exact number sold on top of each bar for clarity.

The resulting bar chart would look something like this:

```
Number of Lunches Sold

650 | |-------|
600 | | |
550 | | |
500 | |-------| | |
450 | | | | |
400 | | | |---| |
350 | | | | | |-----|
300 | |-------| | | | | |
250 | | | | | | | |
200 | | | | | | | |
150 | | | | | | | |
100 | | | | | | | |
50 | | | | | | | |
0 +------------------------------------------------
Deli Hamburger Pasta Plate Pizza Soup Combo
```

Alternatively, in a pie chart, each segment would represent a lunch type, with the angle proportionate to the number sold. For instance, Pizza would take the largest segment as it had the highest sales, while Deli Sandwich would be comparatively smaller.

In conclusion, a bar chart is a straightforward way to visualize the lunch sales data and compare the different types sold efficiently. Make sure the graph accurately represents the numbers given in the table for a correct and comprehensive representation of the data.