Final answer:
A conductor must furnish his badge number primarily to the ticket inspector, similar to a driver recognizing the authority of a police officer by pulling over when signaled.
Step-by-step explanation:
In relation to authority and its recognition in everyday life, a conductor must furnish his badge number primarily to the ticket inspector when requested. This is analogous to how a driver pulls over for a police officer, recognizing the officer's legitimate authority.
While passengers, police, and the driver might all be legitimate requesters of the badge number in various contexts, it is the ticket inspector who most directly requires it to verify the conductor's authority to perform his duties on the transport system.