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

Step-by-step explanation: i took the test and got the answer right

Answer 2

Answer: 42804 people per square mile

Explanation:

As we know Population density =
`(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 =
`\frac{8.55\text{ million}}{300\text{ square miles}}`

`=\frac{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 =
`(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.