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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?

New York City has a population density of 2727,000000 residents per 11 square mile. The area of New York City is 301301 square miles, and there is approximately 11 subway car for every 11,300300 New York City residents. Rounded to the nearest one hundred subway cars, approximately how many total subway cars are in New York City?

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Q. New York City has a population density of 2727,000000 residents per 11 square mile. The area of New York City is 301301 square miles, and there is approximately 11 subway car for every 11,300300 New York City residents. Rounded to the nearest one hundred subway cars, approximately how many total subway cars are in New York City?
  1. Calculate Population Total: Calculate the total population of New York City.\newlineTo find the total population, multiply the population density by the area of the city.\newlinePopulation density = 27,00027,000 residents per square mile\newlineArea of New York City = 301301 square miles\newlineTotal population = Population density ×\times Area\newlineTotal population = 27,00027,000 residents/mile² ×\times 301301 miles²
  2. Find Total Population: Perform the multiplication to find the total population.\newlineTotal population = 27,000×30127,000 \times 301\newlineTotal population = 8,127,0008,127,000 residents
  3. Calculate Subway Cars: Calculate the number of subway cars based on the population.\newlineWe know there is approximately 11 subway car for every 1,3001,300 residents.\newlineNumber of subway cars == Total population ÷\div Number of residents per subway car\newlineNumber of subway cars =8,127,000÷1,300= 8,127,000 \div 1,300
  4. Determine Number of Subway Cars: Perform the division to find the number of subway cars.\newlineNumber of subway cars =8,127,000÷1,300= 8,127,000 \div 1,300\newlineNumber of subway cars 6,251.54\approx 6,251.54
  5. Round to Nearest Hundred: Round the number of subway cars to the nearest one hundred.\newlineTo round to the nearest one hundred, we look at the tens digit. If it is 55 or more, we round up. If it is less than 55, we round down.\newlineIn this case, the tens digit is 55, so we round up.\newlineRounded number of subway cars = 6,3006,300

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