Question

Out of a population of 700 students, 120 were asked by a random sampling to choose the green vegetable they would like to have served in the cafeteria. Their responses are shown in the table below. Cafeteria Choices Green Vegetable Number of Students peas 34 green beans 27 broccoli 23 zucchini 18 brussels sprouts 18 Using proportional reasoning, about how many students out of the 700 would you expect to request broccoli to be served? 23 students 30 students 105 students 134 students

Answer 1

Answer with explanation:

Total Population=700

Sample Chosen =120

Respondent who like student Peas =34

Respondent who like green beans = 27

Respondent who like broccoli =23

Respondent who like zucchini=18

Respondent who like brussels sprouts= 18

Out of 120 , 23 likes Broccoli, which can be represented in terms of fraction as $\frac {23}{120}$.

So, if out of 700 , who likes broccoli, is x, which can be calculated as

$\frac{x}{700}=\frac{23}{120}\\\\ 12 x=70 \times 23\\\\ x=\frac{1610}{12}=134.16666....$

=134

So, out of 700 students who like broccoli=134 students (Option D)  

Answer 2

134 hope I helped ;)