Question

there are 300 seventh - grade students at amaya’s 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. write an expression you can use to estimate the number of seventh - grade students who do not buy lunch from the cafeteria.

Explanation:

Step1: Find sample size

The sample has \(9 + 16 = 25\) students.

Step2: Find proportion of non - buyers

In the sample, students who do not buy lunch (bring lunch) are 16, so the proportion is \(\frac{16}{25}\).

Step3: Estimate for total population

To estimate the number of 300 seventh - graders who do not buy lunch, we multiply the total number of seventh - graders (300) by the proportion of non - buyers in the sample (\(\frac{16}{25}\)). So the expression is \(300\times\frac{16}{25}\).

Answer:

\(300\times\frac{16}{25}\)