Back to Apportionment

Exercise 19

Avg difficulty 2.5

A school district has two high schools: Clatsop, serving 1715 students, and Siletz, serving 7364. The district could only afford to hire 13 guidance counselors.

  1. Determine how many counselors should be assigned to each school using Hamilton's method.

  2. The following year, the district expands to include a third school, Cayuse, serving an additional 2989 students. Based on the divisor from above, how many additional counselors should be hired for Cayuse?

  3. After hiring that many new counselors, the district recalculates the reapportion using Hamilton's method. Determine the outcome.

  4. Explain what happened in the new apportionment. Do you think the outcome from part c is fair? Why or why not.

Lee et al., Math in Society, §5.1 Apportionment, Exercise 19

AI Tutor

Adapted from Math in Society © 2018–2024 Portland Community College Math Instructors. Licensed under CC BY-SA 4.0. Source: Math in Society. Imported at revision 68ee43c.