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: 15

Answer

Using Webster's method, each course is apportioned the following number of sections: Introductory Algebra is apportioned 4 sections. Intermediate Algebra is apportioned 10 sections. Liberal Arts Math is apportioned 6 sections.

Work Step by Step

We can use the modified divisor of $d = 29.6$ to find the modified quota for each course. Introductory Algebra: $modified ~quota = \frac{enrollment}{modified~divisor}$ $modified~quota = \frac{130}{29.6}$ $modified~quota = 4.39$ Intermediate Algebra: $modified ~quota = \frac{enrollment}{modified~divisor}$ $modified~quota = \frac{282}{29.6}$ $modified~quota = 9.53$ Liberal Arts Math: $modified ~quota = \frac{enrollment}{modified~divisor}$ $modified~quota = \frac{188}{29.6}$ $modified~quota = 6.35$ Webster's method is an apportionment method that involves rounding each modified quota down to the nearest whole number if the fractional part is less than 0.5, and rounding each modified quota up to the nearest whole number if the fractional part is more than 0.5. Using Webster's method, each course is apportioned the following number of sections: Introductory Algebra is apportioned 4 sections. Intermediate Algebra is apportioned 10 sections. Liberal Arts Math is apportioned 6 sections.
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