Question

The 200 students in a school band will attend awards dinner. A random survey of 25 of these students was conducted to determine how many of each meal should be prepared for the dinner. The results of the survey are shown.

• 12 students want a beef meal
• 8 students want a chicken meal
• 5 students want a pasta meal

Based on the survey results, which of these is the best prediction of the meals wanted by the 200 students?

A] there are 16 students who want a beef meal
B] there are 52 students who want either chicken meal or pasta meal
C] there are 32 more students who want a beef meal more than want a chicken meal
D] there are 24 more students who want a pasta meal than want a chicken meal

PLEASE HELP!!! AND SHOW WORK!!!

Answer 1

The best prediction of the meals wanted by the 200 students can be determined based on the proportions from the random survey. Option A, which states that there are 16 students who want a beef meal, is the best prediction.

Step-by-step explanation:

The best prediction of the meals wanted by the 200 students can be determined by considering the proportions from the random survey.

1. The number of students who want a beef meal can be estimated by finding the proportion of students who want a beef meal in the survey and multiplying it by the total number of students. In this case, the proportion is 12/25 and the estimated number of students who want a beef meal is (12/25) * 200 = 96 students.
2. The number of students who want either a chicken meal or a pasta meal can be estimated by adding the number of students who want a chicken meal and the number of students who want a pasta meal in the survey. In this case, the estimated number of students who want either a chicken meal or a pasta meal is 8 + 5 = 13 students.
3. The difference in the number of students who want a beef meal and the number of students who want a chicken meal can be estimated by subtracting the number of students who want a chicken meal from the number of students who want a beef meal in the survey. In this case, the estimated difference is 12 - 8 = 4 students.
4. The difference in the number of students who want a pasta meal and the number of students who want a chicken meal can be estimated by subtracting the number of students who want a chicken meal from the number of students who want a pasta meal in the survey. In this case, the estimated difference is 5 - 8 = -3 students.

Based on the survey results, the best prediction of the meals wanted by the 200 students is

96 students who want a beef meal

as mentioned in option A.

Answer 2

Step-by-step explanation:

Beef = 12 * 8 (cause 25 * 8 = 200)

Beef = 96

Chicken = 8 * 8 (cause 25 * 8 = 200)

Chicken = 64

Pasta = 5 * 8 (cause 25 * 8 = 200)

Pasta = 40

Answer- C] There are 32 more students who want beef meal more than want a chicken meal