Barry asked 40 random students at his school to name their favorite ice cream. Of the 40 students he asked, 25 of them preferred chocolate. Based on Barry's results, how many of the 1,200 students in the school most likely prefer chocolate ice cream?
A. 200
B. 450
C. 750
D. 1,000
We can set up a proportion to solve for the estimate of students who prefer chocolate ice cream:
$\frac{\text{Number of students who prefer chocolate}}{\text{Total number of students}} = \frac{25}{40}$
To find the estimate with 1,200 students, we cross-multiply:
$\text{Number of students who prefer chocolate} = \frac{25}{40} \cdot 1,200 = 750$
Therefore, the answer is $\boxed{\textbf{(C) }750}$.
To determine the number of students in the school who most likely prefer chocolate ice cream, we can set up a proportion.
Let's let x represent the number of students in the school who prefer chocolate ice cream.
According to the information given, 25 out of 40 students preferred chocolate ice cream.
We can set up the following proportion:
25/40 = x/1200
To solve for x, we can cross-multiply and solve for x.
40x = 25 * 1200
40x = 30000
x = 30000/40
x = 750
Therefore, the most likely number of students in the school who prefer chocolate ice cream is 750.
Therefore, the answer is C. 750
To determine how many of the 1,200 students in the school most likely prefer chocolate ice cream based on Barry's results, we can use proportion.
First, we need to find the ratio of students who prefer chocolate ice cream in the sample group. We divide the number of students who prefer chocolate ice cream (25) by the total number of students in the sample group (40):
Ratio of students who prefer chocolate ice cream = 25/40
To estimate the number of students who prefer chocolate ice cream in the entire school, we can multiply this ratio by the total number of students in the school:
Number of students who prefer chocolate ice cream = (25/40) * 1,200
Simplifying this calculation, we have:
Number of students who prefer chocolate ice cream = 75 * 30
Number of students who prefer chocolate ice cream = 2,250
Therefore, the answer is not among the given options.