Thinking Mathematically (6th Edition)

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

Chapter 9 - Measurement - 9.2 Measuring Area and Volume - Exercise Set 9.2: 53

Answer

The population density of Illinois is $222.2~people/mi^2$ The population density of Ohio is $257.6~people/mi^2$ Ohio has a greater population density than Illinois. There are 35.4 more people per square mile in Ohio.

Work Step by Step

We can find the population density of Illinois. $\frac{population}{area} = \frac{12,869,257~people}{57,914~mi^2} = 222.2~people/mi^2$ The population density of Illinois is $222.2~people/mi^2$ We can find the population density of Ohio. $\frac{population}{area} = \frac{11,544,951~people}{44,826~mi^2} = 257.6~people/mi^2$ The population density of Ohio is $257.6~people/mi^2$ We can find the difference in population density. $257.6~people/mi^2 - 222.2~people/mi^2 = 35.4~people/mi^2$ Ohio has a greater population density than Illinois. There are 35.4 more people per square mile in Ohio.
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