Question

When Andrei surveyed 36 random seventh-grade students in the lunchroom, he found that 7 out of 9 would like to try or have already tried snorkeling. Using proportional reasoning, about how many of the 810 seventh-grade students in his school would like to snorkel?
About 157 seventh-grade students would like to snorkel.
About 202 seventh-grade students would like to snorkel.
About 630 seventh-grade students would like to snorkel.
About 720 seventh-grade students would like to snorkel.

Answer 1

Let's use the proportional reasoning technique to determine how many of the 810 seventh-grade students would like to snorkel.

From Andrei's survey, 7 out of 9 students expressed interest in snorkeling. We can express this as a ratio:

\[
\text{Proportion of students who would like to snorkel} = \frac{7}{9}
\]

To find out how many students out of the total of 810 would like to snorkel, we can set up the following equation:

\[
x = \frac{7}{9} \times 810
\]

We can calculate \( x \):

\[
x = \frac{7 \times 810}{9}
\]

First, calculate \( 7 \times 810 \):

\[
7 \times 810 = 5670
\]

Now divide by 9:

\[
x = \frac{5670}{9} = 630
\]

Thus, about **630** seventh-grade students in the school would like to snorkel.

The answer is: **About 630 seventh-grade students would like to snorkel.**