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QuizMultiple Choice

Density and Design Problems

Question 1 • *CR CCSS Math 2 S2 [M2960OX]

A city’s bus line is used more as the urban population density increases. The more people in an area, the more likely bus lines will be utilized.The population of City A, in Texas, is 29,455 and covers an area of 19.42 mi2. The population of City B, in Alabama, is 34,890 and covers an area of 25.4 mi2.Which city’s residents are more likely to use public buses? Explain.

Answer
A
The residents of City B are more likely to use public transportation because the city has the lowest population density.
B
The residents of City B are more likely to use public transportation because the city has the highest population density.
C
The residents of City A are more likely to use public transportation because the city has the lowest population density.
D
The residents of City A are more likely to use public transportation because the city has the highest population density.

Explanation

Population density is population divided by area. City A’s density is about 29,455 ÷ 19.42 = 1,517 people per square mile, while City B’s is about 34,890 ÷ 25.4 = 1,374 people per square mile. Since higher population density makes bus use more likely, City A’s residents are more likely to use public buses. The correct choice is D: City A has the highest population density.

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