Math Problem Statement

A small country consists of four states: A, B, C, and D. The population of each state is given in the following table. The country's legislature is to have 200 seats. State A B C D Population 1,300,000 3,400,000 17,500,000 19,400,000 (a) Express each state's population (and total population) in terms of millions. State A B C D Total Population (millions) 1.3

Correct: Your answer is correct. 3.4

Correct: Your answer is correct. 17.5

Correct: Your answer is correct. 19.4

Correct: Your answer is correct. 41.6

Correct: Your answer is correct.

(b) Find the standard divisor, and round it off to two decimal places. 0.208

Correct: Your answer is correct.

(c) Find each state's standard, lower, and upper quotas. (Round your standard quotas to two decimal places.) State A B C D Standard 0.205

Incorrect: Your answer is incorrect. 16.35

Incorrect: Your answer is incorrect. Lower 6

Correct: Your answer is correct. 16

Correct: Your answer is correct. 84

Incorrect: Your answer is incorrect. 93

Incorrect: Your answer is incorrect. Upper 7

Correct: Your answer is correct. 17

Correct: Your answer is correct. 85

Incorrect: Your answer is incorrect. 94

Incorrect: Your answer is incorrect.

(d) Use the Hill-Hunington Method to apportion the 200 seats. State A B C D Seats 6

Correct: Your answer is correct. 16

Correct: Your answer is correct. 84

Correct: Your answer is correct. 94

Correct: Your answer is correct.

Solution

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Math Problem Analysis

Mathematical Concepts

Apportionment
Ratios
Divisors
Quotas

Formulas

Standard Divisor = Total Population / Number of Seats
Standard Quota = Population of the State / Standard Divisor
Lower Quota = Floor(Standard Quota)
Upper Quota = Ceiling(Standard Quota)

Theorems

Hill-Huntington Apportionment Method

Suitable Grade Level

College Level / Advanced High School