The population density of a place is defined as follows:
[tex]\frac{Population}{Area}\text{ = Density}[/tex]
A. Let us calculate the density of San Diego . The population is 1356000 and area 372.4. So the density is
[tex]\frac{1356000}{327.4}\text{ = }4141.72persons/mi^2[/tex]
In the case of Los Angeles we get
[tex]\frac{3884000}{503}=7721.67persons/mi^2[/tex]
So, it is clear that Los Angeles has a greater density than San Diego.
B. We have the following equality for Sacramento. Let x be the population of Sacramento. Then
[tex]\frac{x}{100.1}=4792.1[/tex]
So we need to solve this equation for x. To do so, simply multiply by 100.1 on both sides, so we get
[tex]x\text{ = 4792.1}\cdot100.1\text{ = 479689.21}[/tex]
So population of sacramento is about 479690 people.
C. In here, we are missing the area. So let x be the area of San Francisco. We will have the following equation
[tex]17855\text{ = }\frac{837442}{x}[/tex]
So, we multiply both sides by x. We get
[tex]17855x\text{ = 837442}[/tex]
Finally, we divide both sides by 17855. So we get
[tex]x\text{ = }\frac{837442}{17855}\text{ = }46.90mi^2[/tex]
So the area of San francisco is about 46.90 squared miles.
