Use reasoning with proportions to interpret the data in the circle graph. Ninth graders were surveyed on their favorite subject. The results are shown in the circle graph. If 250 students were surveyed, how many of them chose social studies and science as their favorite subjects?

Answer 1

To interpret the data in the circle graph using reasoning with proportions, we need to first determine the proportions of students who chose social studies and science as their favorite subjects.

Looking at the circle graph, we can see that the section representing social studies is approximately 1/4 of the entire circle, and the section representing science is approximately 1/5 of the circle.

If we assume that the proportions represented in the circle graph are similar to the actual proportions in the survey sample of 250 students, we can calculate the number of students who chose social studies and science as their favorite subjects.

- Number of students who chose social studies: 1/4 of 250 = 250/4 = 62.5 students (rounding to the nearest whole number, we get 63 students)
- Number of students who chose science: 1/5 of 250 = 250/5 = 50 students

Therefore, based on the proportions in the circle graph, approximately 63 students chose social studies as their favorite subject and 50 students chose science as their favorite subject out of the 250 students surveyed.