Question

As of 2016, New York City has a population of 8.55 million and a land area of 300 square miles. Manhattan is a section of New Your City that has a land area of 23 square miles and a population of 1.64 million. How much greater is the population density of Manhattan than that of New York City?

Answer 1

Answer: 42804 people per square mile

Step-by-step explanation:

As we know Population density = $\dfrac{Number\ of\ people}{Area}$

Given, population of New York City =  8.55 million

Area of New York City  = 300 square miles

Then, population density of New York City = $\dfrac{8.55\text{ million}}{300\text{ square miles}}$

$=\dfrac{8550000}{300\text{ square miles}}=28500\text{ people per square mile}$   [1 million = 1,000,000]

Population of Manhattan =  1.64 million = 1640000

Area of Manhattan  = 23 square miles

population density of Manhattan = $\dfrac{1640000}{23}\approx71304\text{ people per square mile}$

Difference = 71304 - 28500 =42804

Hence, population density of Manhattan is 42804 people per square mile greater than that of New York City.