Final answer:
The quoted excerpt describes the apportionment of representation and direct taxes among states based on population, counting three-fifths of enslaved individuals, which is part of the Three-Fifths Compromise in the original text of the U.S. Constitution.
Step-by-step explanation:
The passage you quoted describes the apportionment process by which the United States allocates representation in the House of Representatives and levies direct taxes among the states. This process is based on state populations as determined by a census that occurs every ten years. Specifically, the passage reflects the Three-Fifths Compromise, an agreement made during the 1787 Constitutional Convention that determined that for purposes of representation and taxation, three-fifths of the enslaved African-American population would be counted alongside the free population.
The excerpt also stipulates that each state is guaranteed at least one Representative regardless of population size and sets the maximum number of constituents per Representative at thirty thousand. This method of apportionment remained in effect until the Fourteenth Amendment was adopted, which changed the representation to include all persons in each state (excluding non-taxed Native Americans), shifting the dynamics post-Civil War.