Answer:
The population density increased by about 1.08 people per square mile.
Step-by-step explanation:
[tex]\mathbf{Average \ annual \ rate \ of \ change \ in \ population \ density =\frac{Change \ in \ population \ in \ density}{Total \ number \ of \ years}}[/tex]
Population in year 1960 is 36.4 people per square mile.
Population in year 2000 is 79.6 people per square mile.
Change in population density between year 1960 and 2000 is:
79.6 - 36.4 = 43.2
Total number of year between year 1960 and 2000 is:
2000 - 1960 = 40
Substituting the values in above formula:
[tex]\textrm{Average annual rate of change in population density}=\frac{79.6-36.4}{2000-1960}[/tex]
[tex]\textrm{Average annual rate of change in population density}=\frac{43.2}{40}[/tex]
[tex]\therefore\mathbf{Average \ annual \ rate \ of \ change \ in \ population \ density=1.08}[/tex]
