To determine the angle for the wedge representing ranch sauce in a circle graph, we need to follow these steps:
1. Understand Total and Specific Data:
- Total students surveyed: 70
- Students who prefer ranch: 14
2. Determine Proportion for Ranch:
The proportion of students who prefer ranch out of the total students is calculated as:
[tex]\[
\text{Proportion for Ranch} = \frac{\text{Number of Ranch Votes}}{\text{Total Students}} = \frac{14}{70}
\][/tex]
3. Convert Proportion to an Angle:
Since a circle has [tex]\(360^{\circ}\)[/tex], we need to multiply the proportion by [tex]\(360^{\circ}\)[/tex] to get the angle:
[tex]\[
\text{Angle for Ranch} = \left(\frac{14}{70}\right) \times 360^{\circ}
\][/tex]
4. Result:
Based on our calculation, the angle for the ranch wedge in the circle graph would be:
[tex]\[
\text{Angle for Ranch} = 72^{\circ}
\][/tex]
Thus, the answer is:
B. [tex]\(72^{\circ}\)[/tex]
