The following table displays the effect of reducing the size of the divisor. Observe the effect this has on the modified quotas of smaller states versus larger states and use the table answer each question.
| Modified Quotas | ||||
| State | Population | Divisor: 10,500 | Divisor: 10,000 | Divisor: 9,500 |
| A | 10,000 | 0.95 | 1 | 1.05 |
| B | 100,000 | 9.52 | 10 | 10.53 |
| C | 1,000,000 | 95.24 | 100 | 105.26 |
- When the divisor decreases from 10,500 to 10,000, how many representatives are gained by each state based on the lower quota?
- When the divisor decreases from 10,000 to 9,500, how many representatives are gained by each state based on the lower quota?
- Which state gains the most representatives each time the divisor is decreased?
OpenStax Contemporary Mathematics, 11.4 Apportionment Methods, exercise 21