Final answer:
The equation that represents the number of people per U.S. Representative is z = x / y (option b).
Step-by-step explanation:
The equation that represents the number of people per U.S. Representative, denoted as z, in terms of a state's population x and its number of U.S. Representative members y is z = x / y (option b).
This equation represents the division of the state's population x by the number of U.S. Representative members y. Dividing the population by the number of representatives gives the average number of people per representative.
For example, if a state has a population of 1,000,000 and 10 U.S. Representative members, the equation would be z = 1,000,000 / 10 = 100,000. This means that, on average, each U.S. Representative would represent 100,000 people.