Question

a citys 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 belmont, ma, is 24,729 and covers an area of 4.66 mi². the population of easton, ma, is 23,112 and covers an area of 28.4 mi². which citys residents are more likely to use public buses? explain.
● the residents of belmont are more likely to use public transportation because the city has the highest population density
● the residents of easton are more likely to use public transportation because the city has the highest population density.
● the residents of both cities will not use the bus line because the population density is too high.
● the residents of both cities are equally likely to use public transportation because the population densities are equal

Explanation:

Step1: Calculate population density of Belmont

Population density formula: \(Population\ density=\frac{Population}{Area}\)
For Belmont: \(Population = 24729\), \(Area=4.66\ mi^{2}\)
\(Population\ density_{Belmont}=\frac{24729}{4.66}\)
\(Population\ density_{Belmont}\approx5307\ people/mi^{2}\)

Step2: Calculate population density of Easton

For Easton: \(Population = 23112\), \(Area = 28.4\ mi^{2}\)
\(Population\ density_{Easton}=\frac{23112}{28.4}\)
\(Population\ density_{Easton}\approx814\ people/mi^{2}\)

Step3: Compare population densities

Since \(5307>814\) (population density of Belmont > population density of Easton)

Answer:

The residents of Belmont are more likely to use public transportation because the city has the highest population density.