QUESTION IMAGE
Question
- the table shows the approximate population and land area for several states. which state has the least population density?
Step1: Recall population - density formula
Population density $d=\frac{P}{A}$, where $P$ is population and $A$ is land - area.
Step2: Calculate population density for Arizona
$P_{Arizona}=6.83\times 10^{6}$, $A_{Arizona}=113594$. Then $d_{Arizona}=\frac{6.83\times 10^{6}}{113594}\approx 60.12$ people per square - mile.
Step3: Calculate population density for Colorado
$P_{Colorado}=5.46\times 10^{6}$, $A_{Colorado}=103642$. Then $d_{Colorado}=\frac{5.46\times 10^{6}}{103642}\approx 52.7$ people per square - mile.
Step4: Calculate population density for Kentucky
$P_{Kentucky}=4.43\times 10^{6}$, $A_{Kentucky}=39486$. Then $d_{Kentucky}=\frac{4.43\times 10^{6}}{39486}\approx 112.2$ people per square - mile.
Step5: Calculate population density for Minnesota
$P_{Minnesota}=5.45\times 10^{6}$, $A_{Minnesota}=79627$. Then $d_{Minnesota}=\frac{5.45\times 10^{6}}{79627}\approx 68.4$ people per square - mile.
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Colorado has the least population density.