Question the-to
The total area of a coastal city is 92.1 square miles, of which 11.3 square miles is water. If the city had a population of 621,000 people in the year 2010, which of the following is closest to the population density, in people per square mile of land area, of the city at that time?
6,740
7,690
55,000
76,000
The total area of a coastal city is 92.1 square miles, of which 11.3 square miles
Hard-difficulty · SAT Math · Ratios, Rates, and Proportional Relationships — Word problems with proportional reasoning. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice B is correct. The land area of the coastal city can be found by subtracting the area of the water from the total area of the coastal city; that is, 
square miles. The population density is the population divided by the land area, or 
, which is closest to 7,690 people per square mile.
Choice A is incorrect and may be the result of dividing the population by the total area, instead of the land area. Choice C is incorrect and may be the result of dividing the population by the area of water. Choice D is incorrect and may be the result of making a computational error with the decimal place.
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