Question

rachelle randomly surveys seventh graders in her school and finds that 7 of 25 play a school sport if there are 175 seventh graders in the school about how many are expected to play a school sport

Answer 1

To find the expected number of seventh graders in the school who play a school sport, we can use the proportion of students Rachelle surveyed who play a sport.

From her survey, 7 out of 25 seventh graders play a school sport. We can express this as a fraction:

\[
\text{Proportion} = \frac{7}{25}
\]

Now, we can apply this proportion to the total number of seventh graders in the school, which is 175:

\[
\text{Expected number of seventh graders playing a sport} = \text{Proportion} \times \text{Total number of seventh graders}
\]

Now substituting the values:

\[
\text{Expected number} = \frac{7}{25} \times 175
\]

To calculate this:

1. First, simplify \( \frac{175}{25} \):

\[
\frac{175}{25} = 7
\]

2. Now multiply \( 7 \) by \( 7 \):

\[
7 \times 7 = 49
\]

Therefore, the expected number of seventh graders who play a school sport is **49**.