Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 13 - Voting and Apportionment - 13.3 Apportionment Method - Exercise Set 13.3: 46

Answer

The U.S. population in 1880 was 49,374,462

Work Step by Step

We can use the population of Alabama and the standard quota to find the standard divisor. $standard~quota = \frac{population}{standard~divisor}$ $standard~divisor = \frac{population}{standard~quota}$ $standard~divisor = \frac{1,262,505}{7.671}$ $standard~divisor = 164,581.54$ We can use the standard divisor and the number of congressional seats to find the U.S. population in 1880. $standard~divisor = \frac{U.S.~population}{seats}$ $U.S.~population = (standard~divisor)~(seats)$ $U.S.~population = (164,581.54)~(300)$ $U.S.~population = 49,374,462$ The U.S. population in 1880 was 49,374,462
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