Answer:
[tex]1600\ \text{people per square mile}[/tex]
Step-by-step explanation:
Number of people per square mile in City A is 6000.
In terms of size City B is a dilation of City A with scale factor 1.5.
This means a length of 1 mile in city A would be 1.5 miles in city B.
So, [tex]1\ \text{mile}^2\text{ in City A}=1.5^2\ \text{mile}^2\text{ in City B}[/tex]
City B has [tex]\dfrac{3}{5}[/tex] of the population of City A.
So the population density of City B would be
[tex]\dfrac{\dfrac{3}{5}\times 6000}{1.5^2}=1600\ \text{people per square mile}[/tex]
The population density of City B is [tex]1600\ \text{people per square mile}[/tex].
