Explanation Given information: Chemistry is taught at five high schools in the Santa Rosa Unified School District. The district has received a grant of 100 microscopes which are to be apportioned to the five high schools based on each school’s chemistry population. Use the following data. School # Students # Chemistry Students Elsie Allen 1 , 524 90 Maria Carrillo 1 , 687 215 Montgomery 1 , 755 268 Piner 1 , 519 133 Santa Rosa 1 , 797 84 TOTAL 8 , 282 790 The number of microscopes is 100 . Formula used: STANDARD DIVISOR = TOTAL POPULATION NUMBER OF SHARES STANDARD QUOTA = TOTAL POPULATION STANDARD DIVISOR Calculation: In Jefferson’s plan, use the following steps: Step-1: Calculate the standard devisor ( d ) for each school. Step-2: Calculate the standard quota ( q ) using standard devisor ( d ) . Step-3: Round the standard quotas down to get lower quotas and add these quotas together to find the total number of microphones. It will be correct or it will be too small. Step-3: If it will be small, lower the standard divisor in small increments to find a modified divisor that will give modified quotas that provide the appropriate total. Given number of microscopes is 100 . Total chemistry students in five high schools are 790 . Suppose standard divisor is denoted by d . Substitute the values of the total population of chemistry students and number of microscopes in the formula of the standard divisor d , d = 790 100 = 7.9 Therefore, the standard divisor is d = 7.9 . Divide the chemistry population of each school by standard divisor ( d ) to find the standard quota ( q ) and round the standard quota down to get lower quota. School # Chemistry Students Standard quota ( q ) Lower quota Elsie Allen 90 90 7.9 ≈ 11.39 11 Maria Carrillo 215 215 7

Nature of Mathematics (MindTap Course List)

13th Edition

ISBN: 9781133947257

Author: karl J. smith

Publisher: Cengage Learning

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Chapter 17.CR, Problem 15CR

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Jefferson’s apportionment plan if the district received a grant of 100 microscopes which are to be distributed to the five high schools based on the number of chemistry students.

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Nature of Mathematics (MindTap Course List)

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Jefferson’s apportionment plan if the district received a grant of 100 microscopes which are to be distributed to the five high schools based on the number of chemistry students.

Solution Summary: The author explains Jefferson's apportionment plan based on the number of chemistry students at five high schools in the Santa Rosa Unified School District.

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Jefferson’s apportionment plan if the district received a grant of 100 microscopes which are to be distributed to the five high schools based on the number of chemistry students.

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