Question

The population of Colorado in 2009 was approximately 5,024,748. The land can be approximated by a rectangle with coordinates (0,0), (369,0), (369,281), and (0,281), with each unit on the coordinate plane being 1 mile. What was the population density in 2009?

Answer 1

The population density of Colorado in 2009 was approximately 48.4 people per square mile.

Step-by-step explanation:

To find the population density in 2009, we can use the formula:

Population Density = Population / Area

First, we need to find the area of Colorado, which can be calculated using the coordinates given. The length of the rectangle is the difference between the x-coordinates of the two opposite corners, which is 369 - 0 = 369. The width of the rectangle is the difference between the y-coordinates of the same two corners, which is 281 - 0 = 281. Therefore, the area is 369 * 281 = 103,689 square miles.

Next, we can plug in the population of Colorado in 2009, which was approximately 5,024,748, into the formula:

Population Density = 5,024,748 / 103,689 ≈ 48.4 people per square mile