we know that
The population density is the number of people living in each unit of area. Is equal to the population divided by the total area.
so
Let
x------> population (number of people)
y------>the area in [tex]Km^{2}[/tex]
z-----> the population density
[tex]z=\frac{x}{y}[/tex]
Find the population density of the cities
City A
[tex]z=\frac{2,195,914}{1,553}=1,413.98\frac{people}{Km^{2}}[/tex]
City B
[tex]z=\frac{48,592}{26}=1,868.92\frac{people}{Km^{2}}[/tex]
City C
[tex]z=\frac{1,257,676}{999}=1,258.93\frac{people}{Km^{2}}[/tex]
City D
[tex]z=\frac{196,429}{258}=761.35\frac{people}{Km^{2}}[/tex]
Statements
case A) The population density for City B can be found using the ratio [tex]48,592 : 26[/tex]
The statement is true -------> see the procedure
case B) The population density for City D can be found using the ratio [tex]258 : 196,429[/tex]
The statement is False
Because, the population density for City D can be found using the ratio [tex]196,429 : 258[/tex] ----> see the procedure
case C) City A has the greatest population density of the four cities
The statement is False
Because, the greatest population density of the four cities is the city B (see the procedure)
case D) The population density of City B is greater than that of City C
The statement is True -----> see the procedure
the greatest population density of the four cities is the city B
case E) City D has the lowest population density of the four cities
The statement Is True -------> see the procedure
