In 1790, the first United States census was taken. The following table shows the population of the

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In 1790, the first United States census was taken. The following table shows the population of the 15 states at that time. One hundred five seats in the United States House of Representatives were to be apportioned among the 15 states.

State                                                     Population
Connecticut . . . . . . . . . . . . . . . . . . . . 236,841
Delaware . . . . . . . . . . . . . . . . . . . . . . 55,540
Georgia . . . . . . . . . . . . . . . . . . . . . . .  70,835
Kentucky . . . . . . . . . . . . . . . . . . . . . .  68,705
Maryland . . . . . . . . . . . . . . . . . . . . . . 278,514
Massachusetts . . . . . . . . . . . . . . . . . 475,327
New Hampshire . . . . . . . . . . . . . . . . 141,822
New Jersey . . . . . . . . . . . . . . . . . . . .  179,570
New York . . . . . . . . . . . . . . . . . . . . . . 331,589
North Carolina . . . . . . . . . . . . . . . . .  353,523
Pennsylvania . . . . . . . . . . . . . . . . . . . 432,879
Rhode Island . . . . . . . . . . . . . . . . . . . 68,446
South Carolina . . . . . . . . . . . . . . . . .  206,236
Vermont . . . . . . . . . . . . . . . . . . . . . . . 85,533
Virginia . . . . . . . . . . . . . . . . . . . . . . . . 630,560
Total . . . . . . . . . . . . . . . . . . . . . . . . . . 3,615,920

a) Determine the apportionment that would have resulted if Hamilton’s method had been used as the method originally approved by Congress.

b) Determine the apportionment that was used with Jefferson’s method.

c) Compare the apportionments from parts (a) and (b). Which state(s) benefited from Jefferson’s method? Which state(s) were at a disadvantage from Jefferson’s method?


When appropriate round quotas to the nearest hundredth.

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A Survey Of Mathematics With Applications

ISBN: 9780135740460

11th Edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

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