To determine the sections of a circle graph that represent 18% of the entire circle, we need to calculate the percentage for each snack preference based on the total number of students surveyed (400). Then, we find the angle of each section in the circle graph using the formula:Angle of a section=(Number of students with a specific preferenceTotal number of students)×360Angle of a section=(Total number of studentsNumber of students with a specific preference)×360Let's calculate the angles for each snack preference:Muffins: (70400)×360=63∘(40070)×360=63∘Pretzels: (70400)×360=63∘(40070)×360=63∘Fruit: (50400)×360=45∘(40050)×360=45∘Yogurt: (50400)×360=45∘(40050)×360=45∘Cheese and crackers: (80400)×360=72∘(40080)×360=72∘Granola bars: (80400)×360=72∘(40080)×360=72∘Now, we want to find the sections that each represent 18∘18∘of the entire circle. We can see that both Muffins and Pretzels have sections of 63∘63∘, which is more than 18∘18∘. Therefore, neither Muffins nor Pretzels satisfy the condition.However, both Fruit and Yogurt have sections of 45∘45∘, which is less than 18∘18∘. So, Fruit and Yogurt represent sections less than 18∘18∘.Finally, both Cheese and crackers and Granola bars have sections of 72∘72∘, which is more than 18∘18∘. Therefore, neither Cheese and crackers nor Granola bars satisfy the condition.In conclusion, none of the snack preferences have sections of 18∘18∘in the given data.
