Question

the populations and areas of four states are shown. which statement regarding these four states is true? state a: population 1,055,173, area (km²) 2,677 state b: population 1,333,089, area (km²) 36,418 state c: population 3,596,677, area (km²) 6,543 state d: population 6,745,408, area (km²) 10,555 the state with the lowest population has the greatest population density. the state with the second lowest population has the lowest population density. the state with the lowest population has the lowest population density. the state with the second greatest population has the lowest population density.

Explanation:

Step1: Calculate population density for each state

Population density formula: \(density=\frac{population}{area}\)

• For State A: \(\frac{1055173}{2677}\approx394.2\)
• For State B: \(\frac{1333089}{36418}\approx36.6\)
• For State C: \(\frac{3596677}{6543}\approx550.0\)
• For State D: \(\frac{6745408}{10555}\approx639.1\)

Step2: Analyze each option

• Option 1: State A has the lowest population (\(1055173\)), but its density (\(\approx394.2\)) is not the greatest. State D has the greatest density (\(\approx639.1\)).
• Option 2: State B has the second - lowest population (\(1333089\)), and its density (\(\approx36.6\)) is the lowest.
• Option 3: State A has the lowest population, but its density (\(\approx394.2\)) is not the lowest. State B has the lowest density (\(\approx36.6\)).
• Option 4: State C has the second - greatest population (\(3596677\)), but its density (\(\approx550.0\)) is not the lowest. State B has the lowest density (\(\approx36.6\)).

Answer:

The state with the second lowest population has the lowest population density.