Final answer:
The state government would use a Special revenue fund to account for the distribution of federal grants to cities and towns for social services, as these funds have restrictions attached for specific purposes. Hence, the correct answer is option (B).
Step-by-step explanation:
The federal grants received by the state government for distribution to cities and towns based on community need would be accounted for using a Special revenue fund. This fund is designed to account for proceeds from specific revenue sources that are legally restricted to expenditure for specified purposes. It is not an Agency or Private-purpose trust fund type, as these do not accurately represent the nature of these transfers and their restrictions.
Federal grants can be categorical grants, block grants, or general revenue sharing with each having different levels of restrictions and autonomy for the recipient governments, with categorical grants being the most restricted.