Question

there are 300 seventh - grade students at amayas school. a random sample of seventh - graders were asked if they usually buy lunch from the cafeteria or bring lunch from home. the results showed that 9 students in the sample buy lunch and 16 students bring lunch. how can you estimate the number of seventh - grade students who buy lunch from the cafeteria? find \\( \frac { 9 } { 25 } \\) of 300. about how many seventh - grade students can you expect to buy lunch from the cafeteria? 36 seventh - grade students 108 seventh - grade students 192 seventh - grade students 300 seventh - grade students

Explanation:

Step1: Calculate the proportion of students who buy lunch in the sample

The total number of students in the sample is \(9 + 16=25\). The proportion of students who buy lunch is \(\frac{9}{25}\).

Step2: Use the proportion to estimate the number of students in the whole grade

We want to find \(\frac{9}{25}\) of \(300\). Using the formula \(n=\frac{9}{25}\times300\).

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Answer:

108 seventh - grade students