Final answer:
In municipalities with 5,000 or more people, the mayor-council system or the council-manager system must be approved by voters, both of which involve directly elected officials.
Step-by-step explanation:
The form of local government that must be approved by voters in municipalities of 5,000 or more people is often a form of direct democracy, such as a mayor-council system or a council-manager system. Municipal governments affect daily life through services like clean water, park maintenance, and local law enforcement.
In order to establish a mayor-council system, where both city council members and the mayor are directly elected by the voters, the form of government must be presented to and approved by the municipal electorate.