Russell randomly surveys seventh-graders in his school and finds that 6 of 30 attend summer camp. If there are 200 seventh-graders in his school, about how many are expected to attend summer camp?

A.
6 students attend summer camp

B.
20 students attend summer camp

C.
40 Students attend summer camp

D.
60 students sttend summer camp

1 answer

To estimate the number of seventh-graders expected to attend summer camp, we can use the proportion of students who attended summer camp in Russell's random survey.

In his survey:

  • 6 out of 30 students attend summer camp.

To find the proportion of students attending summer camp, we calculate:

\[ \text{Proportion} = \frac{6}{30} = \frac{1}{5} \]

Now, we can use this proportion to estimate how many of the 200 seventh-graders in his school are expected to attend summer camp.

Expected number of students attending summer camp:

\[ \text{Expected number} = \text{Total number of students} \times \text{Proportion} = 200 \times \frac{1}{5} = 200 \div 5 = 40 \]

Therefore, about 40 students are expected to attend summer camp.

The answer is C. 40 students attend summer camp.