The correct answer is option C. "State governments rely on local governments to implement state programs". Among the different programs that the government of United States offers, there are Natonal, State and Local programs. The State programs are independent of Local government, therefore they could be implemented independently of what is stated among the Local governments of the State.
The Civil Rights Act that passed Congress in July 1964 did ban segregation in public accommodations. 6 1965, the Voting Rights Act banned literacy tests and other barriers to Black voting.