Final answer:
The procedure is known as a A) referendum.
Step-by-step explanation:
The procedure through which local voters can repeal existing ordinances that a city council won't rescind is A) Referendum.
A referendum is a citizen-initiated petition process to repeal a portion of, or an entire law, as passed by the legislature. It allows voters to counteract legislation by putting an existing law on the ballot for voters to either affirm or reject.
For example, if a city council passes a law that the local voters do not agree with, they can initiate a referendum to challenge and repeal that law. The referendum involves collecting signatures from registered voters on a petition, and if enough signatures are gathered, the question is put on the ballot for the voters to decide.