Final answer:
When a client calls to schedule an appointment, the information that should be recorded includes the client's name and phone number, pet name, and reason for the visit.
Step-by-step explanation:
The information that should be recorded when a client calls to schedule an appointment is option c, which includes the client name and phone number, pet name, and reason for the visit. Gathering the client's name and contact information is essential for scheduling the appointment and following up if needed. Additionally, knowing the pet's name and reason for the visit helps the staff prepare for the appointment and provide appropriate care.