Final answer:
The feature of American democracy that helps the federal government maintain control over state and local governments is that states, cities, and counties receive federal funding for many of their programs.
Step-by-step explanation:
The feature of American democracy that helps the federal government maintain control over state and local governments is B: States, cities, and counties receive federal funding for many of their programs. This is because the federal government provides financial assistance to state and local governments, which gives them a certain degree of influence and control.
For example, states and local governments rely on federal funding to support programs such as education, healthcare, transportation, and infrastructure. This financial dependence on the federal government allows the federal government to maintain some control and influence over state and local policies.