The following table provides a comparison of the number of faculty members in each department at a particular college to the student head count in that department and the number of class sections in that department in the Spring semester. Use this information to answer the questions.
| Department | Mathematics | English | History | Science |
| (S) Student Head Count | 4800 | 2376 | 1536 | 2880 |
| (C) Class Sections | 120 | 108 | 48 | 96 |
| (T) Total Faculty | 30 | 27 | 12 | 24 |
| (F) Full-Time Faculty | 10 | 9 | 4 | 8 |
| (P) Part-Time Faculty | 20 | 18 | 8 | 16 |
- Determine the ratios for each department: S to C, C to T, S to T, F to P
- What are the units of the ratios that you found?
- Which of these pairs, if any, has a constant part to part ratio? State the ratio.
- Does it appear that the total number of faculty positions were allocated to each department based on student head count, the number of class sections, or neither? Justify your answer.