The table shows the number of times each meal (Burger, Pasta, and Soup) was ordered at a restaurant. We are asked to find the central angle (in degrees) of the section that represents soup in a pie chart displaying this information.

1. Problem Description

The table shows the number of times each meal (Burger, Pasta, and Soup) was ordered at a restaurant. We are asked to find the central angle (in degrees) of the section that represents soup in a pie chart displaying this information.

2. Solution Steps

First, we need to find the total number of meals ordered.

Total number of meals = Number of Burgers + Number of Pastas + Number of Soups

$Total = 17 + 4 + 9 = 30$

Next, we need to find the fraction of meals that are soup.

Fraction of soup = $\frac{Number of Soups}{Total number of meals}$

Fraction of soup = $\frac{9}{30}$

Now, we need to find the central angle for the soup section in the pie chart. A full circle has 360 degrees.

Central angle of soup section = Fraction of soup $\times$ 360 degrees

Central angle of soup section = $\frac{9}{30} \times 360$

Simplify the fraction: $\frac{9}{30} = \frac{3}{10}$

Now, calculate the angle:

Central angle of soup section = $\frac{3}{10} \times 360$

Central angle of soup section = $3 \times 36 = 108$ degrees.

3. Final Answer

The central angle of the section that represents soup should be 108 degrees.