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: 87

Answer

The population density is 11,941 people per square mile.

Work Step by Step

We know that 1 mile = 1 km We know that 1 hectare = 0.01 square kilometer We can find how many square kilometers are in 1 square mile. $1~mi^2 = 1~mi\times 1~mi$ $1~mi^2 = 1.6~km\times 1.6~km$ $1~mi^2 = 2.56~km^2$ We can find how many square miles are in one hectare. $1 ~ha = \frac{1~ha}{1}\times \frac{0.01~km^2}{1~ha}\times \frac{1~mi^2}{2.56~km^2}$ $1~ha = 0.00391~mi^2$ We can express the population density in units of people per square mile. $\frac{46,690~people}{1000~ha} = \frac{46,690~people}{1000~ha}\times \frac{1~ha}{0.00391~mi^2} = \frac{11,941~people}{1~mi^2}$ The population density is 11,941 people per square mile.
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