Final answer:
The student's question addresses how many appointment time lengths can be authorized within a 24-hour period and the duration of each appointment. Options A (two 12-hour appointments), B (three 8-hour appointments), and C (four 6-hour appointments) all utilize the full 24 hours, while option D provides five 4-hour appointments but does not use the entire day.
Step-by-step explanation:
The question is asking about dividing a 24-hour period into appointment lengths and the number of those appointment times within the full day. To calculate the number of appointments and their lengths that fit into a 24-hour period, we use division.
Here's how the options break down:
- Option A: Two appointments, each 12 hours in length, totaling 24 hours.
- Option B: Three appointments, each 8 hours each, totaling 24 hours.
- Option C: Four appointments, each 6 hours each, totaling 24 hours.
- Option D: Five appointments, each 4 hours each, totaling 20 hours (This does not use the full 24-hour day).
Options A, B, and C all make full use of the 24 hours, with differing lengths and number of appointments. However, option D does not fully utilize the entire 24-hour period. Therefore, options A, B, and C are technically correct in terms of filling the 24-hour period but differ in the number and duration of appointments.