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.