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11.4 Exercise 11

Avg difficulty 2.5

Suppose the population of a state is 50 and the standard divisor is 12.5.

  1. Find the state’s standard quota.
  2. Increase the standard divisor by 2 units and use the modified divisor to determine the modified quota for the state.
  3. Decrease the modified divisor from part 2 by 1.5 units and use the new modified divisor to determine the modified quota for the state.
  4. Choose any value of divisor between the value of the modified divisor from part 2 and the value of the modified divisor from part 3 and use it to determine the modified quota for the state.
  5. Which modified quota was the largest, the modified quota from part 2, from part 3, or from part 4? Explain why.

OpenStax Contemporary Mathematics, 11.4 Apportionment Methods, exercise 11

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Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.