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: Use the following steps in Webster’s plan. Step-1: Calculate the standard quota ( q ) using standard divisor ( d ) for each district. Step-2: Round the standard quotas down if the fractional part < 0.5 and round up if the fractional part is ≥ 0.5 . Step-3: Find the total of standard quotas, it will be correct or it will not. Step-4: If the total is not correct, lower or raise the standard divisor in small increments to find a modified divisor that will give modified quota that provides the appropriate total. The 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

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 17CR

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The Webster’s apportionment plan if 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.

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Nature of Mathematics (MindTap Course List)

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The Webster’s apportionment plan if 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.

Solution Summary: The author explains the Webster's apportionment plan for the Santa Rosa Unified School District.

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The Webster’s apportionment plan if 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.

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