A college cafeteria is looking for a new dessert to offer its 5,000 students. The table shows the preference of 225 students.

Ice Cream Candy Cake Pie Cookies
81 9 72 36 27

Which statement is the best prediction about the scoops of ice cream the college will need?

A) The college will have about 1,800 students who prefer ice cream.
B) The college will have about 800 students who prefer ice cream.
C) The college will have about 600 students who prefer ice cream.
D) The college will have about 144 students who prefer ice cream.

Question

Answered

Answer :

greentoowon greentoowon · Answer 1 · 2024-05-09T13:44:14-04:00

Answer:

Step-by-step explanation:

1. Calculate the proportion of students who prefer ice cream in the sample:

- Number of students who prefer ice cream: 81

- Total number of students in the sample: 225

- Proportion = 81 ÷ 225

2. Multiply the proportion by the total number of students in the college (5,000):

- Estimated number of ice cream preferences = Proportion × Total number of students in the college

- Estimated number of ice cream preferences = (81 ÷ 225) × 5,000

Now, let's do the calculations:

1. Proportion = 81 ÷ 225 = 0.36 (rounded to two decimal places)

2. Estimated number of ice cream preferences = 0.36 × 5,000 = 1,800

So, based on these calculations, the best prediction is that the college will have about 1,800 students who prefer ice cream.