Let's solve this step-by-step.
1. Step 1: Determine the total number of surveyed students.
- From the survey, the total number of students surveyed is 225.
2. Step 2: Identify the number of students who prefer cookies from the survey.
- According to the table, 27 out of the 225 surveyed students prefer cookies.
3. Step 3: Calculate the proportion of students who prefer cookies.
- The proportion can be found by dividing the number of students who prefer cookies by the total number of surveyed students: [tex]\(\frac{27}{225} = 0.12\)[/tex].
4. Step 4: Estimate the number of students who prefer cookies in the entire college.
- The college has 5,000 students in total. To find the estimated number of students who prefer cookies in the entire college, multiply the proportion by the total student population: [tex]\(0.12 \times 5000 = 600\)[/tex].
Thus, the best prediction about the number of cookies the college will need is:
- The college will have about 600 students who prefer cookies.
