Answer :
To determine the angle for the Ranch wedge in the circle graph, follow these steps:
1. Find the total number of students surveyed: There are 70 students surveyed in total.
2. Determine the number of students who chose Ranch: According to the given data, 14 students chose Ranch as their favorite dipping sauce.
3. Calculate the fraction of students who chose Ranch: This fraction is the number of students who chose Ranch divided by the total number of students surveyed.
[tex]\[ \text{Fraction of students who chose Ranch} = \frac{\text{Number of Ranch students}}{\text{Total number of students}} = \frac{14}{70} = 0.2 \][/tex]
4. Calculate the angle for the Ranch wedge in the circle graph: The total degrees in a circle is 360 degrees. To find the angle for the Ranch wedge, multiply the fraction from the previous step by 360 degrees.
[tex]\[ \text{Angle for Ranch wedge} = \text{Fraction of students who chose Ranch} \times 360^{\circ} = 0.2 \times 360^{\circ} = 72^{\circ} \][/tex]
Therefore, the angle for the Ranch wedge should be \(72^{\circ}\).
So, the correct answer is:
C. [tex]\(72^{\circ}\)[/tex]
1. Find the total number of students surveyed: There are 70 students surveyed in total.
2. Determine the number of students who chose Ranch: According to the given data, 14 students chose Ranch as their favorite dipping sauce.
3. Calculate the fraction of students who chose Ranch: This fraction is the number of students who chose Ranch divided by the total number of students surveyed.
[tex]\[ \text{Fraction of students who chose Ranch} = \frac{\text{Number of Ranch students}}{\text{Total number of students}} = \frac{14}{70} = 0.2 \][/tex]
4. Calculate the angle for the Ranch wedge in the circle graph: The total degrees in a circle is 360 degrees. To find the angle for the Ranch wedge, multiply the fraction from the previous step by 360 degrees.
[tex]\[ \text{Angle for Ranch wedge} = \text{Fraction of students who chose Ranch} \times 360^{\circ} = 0.2 \times 360^{\circ} = 72^{\circ} \][/tex]
Therefore, the angle for the Ranch wedge should be \(72^{\circ}\).
So, the correct answer is:
C. [tex]\(72^{\circ}\)[/tex]
