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:
- First, simplify \( \frac{175}{25} \):
\[ \frac{175}{25} = 7 \]
- Now multiply \( 7 \) by \( 7 \):
\[ 7 \times 7 = 49 \]
Therefore, the expected number of seventh graders who play a school sport is 49.