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 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 determine which graph best correctly and completely represents the given data, we need to follow these steps:

1. Read and Understand the Table:
The table provides information about the number of different types of lunches sold in October. Here is the data outlined:

- Dell Sandwich: 300
- Kamburger: 500
- Pasta Plate: 400
- Pizza: 650
- Soup Combo: 350

2. Choose the Type of Graph:
To best represent this data, we should choose a type of graph that can clearly display the individual categories and their corresponding values. Common options are:

- Bar Chart: Good for comparing the absolute numbers of different categories.
- Pie Chart: Good for showing the proportion of each category in relation to the whole.

3. Construct the Graph:

Bar Chart:
A bar chart would have:
- X-axis: Types of Lunches (Dell Sandwich, Kamburger, Pasta Plate, Pizza, Soup Combo)
- Y-axis: Number Sold
- Bars: The height of each bar would correspond to the number sold. For example:
- Dell Sandwich: A bar up to 300
- Kamburger: A bar up to 500
- Pasta Plate: A bar up to 400
- Pizza: A bar up to 650
- Soup Combo: A bar up to 350

Pie Chart:
A pie chart would have:
- Slices representing each type of lunch
- Size of each slice proportional to the number sold. For example, the slice for Pizza would be the largest section because it had the highest sales (650 out of 2200 total lunches).

4. Analyzing Completeness and Correctness:
- Ensure that all categories are represented in the graph.
- Ensure that the numerical values are correctly plotted corresponding to their counts.

5. Summary:
Here is what the data looks like in the described graphs:

Bar Chart Example:
```
|
|
|
|

|
|

|
|

|
|

|
──────────────────────────────────────────────────
Dell Kamburger Pasta Pizza Soup
Sandwich Plate Combo
```

Pie Chart Example: (Not drawn to scale)
```
______ ___
/ \
/ Dell \
/ Sandwich \
\ (13.64%) /
\_________/
| /```````\
|________ Kamburger _______/ |
| (22.72%) | Pizza
| \ (29.54%)
| Soup Combo
| (15.91%) Pasta Plate
| (18.18%)
|
```

In conclusion, both the bar chart and pie chart are effective visual representations of the data. The choice between them depends on whether you prefer to compare absolute values (bar chart) or relative proportions (pie chart). Based on the numerical results, the values fully represent the data given.