The population density of City A is 12,000 people per square mile. City B is a dilation of City A with a scale factor of 1.5. If City B has three-eighths (3/8 ) of the population of City A, what is the population density of City B?
a.4,500 people per square mile
b. 9,000 people per square mile
c. 18,000 people per square mile
d. 24,000 people per square mile