Final answer:
The crime committed by a motorist offering money to a Traffic Enforcement Agent to avoid a ticket is bribery. The offer itself is considered a criminal act, even if not immediately accepted.
Step-by-step explanation:
When a motorist offers a Traffic Enforcement Agent money to avoid a parking ticket, the crime being committed is called bribery. Bribery is an attempt to influence the actions of someone in an official or public role by offering something of value like money. In this scenario, the motorist is committing the act of bribery by offering $50 to the agent. Even though the Traffic Enforcement Agent did not accept the bribe immediately and stated the need to think about it, the offer itself is considered a criminal act. The agent's response is concerning and could imply complicity, which would also be illegal.