New York City has a population density of 27,000 residents per 1 square mile. The area of New York City is 301 square miles, and there is approximately 1 subway car for every 1,300 New York City residents. Rounded to the nearest one hundred subway cars, approximately how many total subway cars are in New York City?
Q. New York City has a population density of 27,000 residents per 1 square mile. The area of New York City is 301 square miles, and there is approximately 1 subway car for every 1,300 New York City residents. Rounded to the nearest one hundred subway cars, approximately how many total subway cars are in New York City?
Calculate Population Total: Calculate the total population of New York City.To find the total population, multiply the population density by the area of the city.Population density = 27,000 residents per square mileArea of New York City = 301 square milesTotal population = Population density × AreaTotal population = 27,000 residents/mile² ×301 miles²
Find Total Population: Perform the multiplication to find the total population.Total population = 27,000×301Total population = 8,127,000 residents
Calculate Subway Cars: Calculate the number of subway cars based on the population.We know there is approximately 1 subway car for every 1,300 residents.Number of subway cars = Total population ÷ Number of residents per subway carNumber of subway cars =8,127,000÷1,300
Determine Number of Subway Cars: Perform the division to find the number of subway cars.Number of subway cars =8,127,000÷1,300Number of subway cars ≈6,251.54
Round to Nearest Hundred: Round the number of subway cars to the nearest one hundred.To round to the nearest one hundred, we look at the tens digit. If it is 5 or more, we round up. If it is less than 5, we round down.In this case, the tens digit is 5, so we round up.Rounded number of subway cars = 6,300
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