Question

new york city has a population density of 27 , 000 27,00027, comma, 000 residents per 1 11 square mile. the area of new york city is 301 301301 square miles, and there is approximately 1 11 subway car for every 1 , 300 1,3001, comma, 300 new york city residents. rounded to the nearest one hundred subway cars, approximately how many total subway cars are in new york city? answer:

Answer 1

By multiplying New York City's population density by its area and then dividing by the ratio of residents per subway car, it's estimated that there are approximately 6,300 subway cars in New York City.

Step-by-step explanation:

To estimate the total number of subway cars in New York City, start by calculating the city's total population using its population density and area. With a population density of 27,000 residents per square mile and an area of 301 square miles, the population of New York City is:

27,000 residents/mile2 × 301 miles2 = 8,127,000 residents

Next, determine the number of subway cars based on the ratio of 1 subway car per 1,300 residents:

8,127,000 residents ÷ 1,300 residents/subway car = 6,251 subway cars

Finally, round to the nearest hundred to find that New York City has approximately 6,300 subway cars.