To determine the number of teachers at a college given a student-to-teacher ratio and the number of students enrolled, we need to follow these steps:
1. Identify the total number of students enrolled at the college.
2. Identify the student-to-teacher ratio provided by the college.
3. Use the student-to-teacher ratio to calculate the number of teachers.
Given:
- Total number of students enrolled = 42,000
- Student-to-teacher ratio = 14:1
This means there is one teacher for every 14 students.
To find the number of teachers:
1. Divide the total number of students by the student-to-teacher ratio.
[tex]\[
\text{Number of teachers} = \frac{\text{Total number of students}}{\text{Student-to-teacher ratio}}
\][/tex]
[tex]\[
\text{Number of teachers} = \frac{42,000}{14}
\][/tex]
2. Perform the division:
[tex]\[
\frac{42,000}{14} = 3,000
\][/tex]
Therefore, the number of teachers required for 42,000 students is 3,000.
The correct answer is:
D. 3,000
