Question

aurelia is ordering food for a school picnic. each student will get a hamburger, a veggie burger, or a hot dog. aurelia surveys a random sample of 100 students to find out which item they prefer. there are 400 students at the school. based on the survey results, about how many hamburgers should aurelia order? 160 based on the survey results, about how many veggie burgers should aurelia order? 105 135 140 175

Explanation:

Step1: Calculate the proportion of students who prefer veggie burgers in the sample

The proportion \( p=\frac{\text{Number of students who prefer veggie burgers in sample}}{\text{Total number of students in sample}}=\frac{35}{100} = 0.35\)

Step2: Estimate the number of veggie - burgers for the whole school

Multiply the proportion by the total number of students in the school. Let \(N\) be the number of veggie - burgers. Then \(N = p\times\text{Total number of students in school}\)
Substitute \(p = 0.35\) and the total number of students \(=400\) into the formula: \(N=0.35\times400=\frac{35}{100}\times400 = 35\times4=140\)

Answer:

140