Answer:
County B
Step-by-step explanation:
You want to know the greater population, given a county's area and population density:
The population is the product of area and density:
[tex]P_A=(108\text{ mi}^2)\dfrac{36\text{ people}}{\text{km}^2}=(108\cdot36\text{ people})\left(\dfrac{\text{mi}}{\text{km}}\right)^2\\\\P_B=(36\text{ km}^2)\dfrac{108\text{ people}}{\text{mi}^2}=(108\cdot36\text{ people})\left(\dfrac{\text{km}}{\text{mi}}\right)^2[/tex]
To determine which product is greater, we simply need to know the relationship between kilometers and miles:
1 mi ≈ 1.609 km
The factor (km/mi) is greater, so the population of County B is greater.
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Additional comment
There are 1.609 km/mi, and about 0.6214 mi/km. The population of County B is about 6.7 times the population of County A.
County A has about 1501 people; County B has 10,070 people.
