Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

In 2015, the most densely populated state in the United States was New Jersey, with a population of 
8,957,907 people, or 1218.1 people per square mile. Which is the approximate land area of New Jersey to the nearest square mile?
A 7,135 square miles
B 7,354 square miles
(C) 10,912 square miles
(D) 12,354 square miles

In 20152015, the most densely populated state in the United States was New Jersey, with a population of 8,957,907 8,957,907 people, or 12181218.11 people per square mile. Which is the approximate land area of New Jersey to the nearest square mile?\newlineA 77,135135 square miles\newlineB 77,354354 square miles\newline(C) 1010,912912 square miles\newline(D) 1212,354354 square miles

Full solution

Q. In 20152015, the most densely populated state in the United States was New Jersey, with a population of 8,957,907 8,957,907 people, or 12181218.11 people per square mile. Which is the approximate land area of New Jersey to the nearest square mile?\newlineA 77,135135 square miles\newlineB 77,354354 square miles\newline(C) 1010,912912 square miles\newline(D) 1212,354354 square miles
  1. Calculate Land Area: To find the land area of New Jersey, we need to divide the total population by the population density per square mile.\newlineLand Area = Total PopulationPopulation Density\frac{\text{Total Population}}{\text{Population Density}}
  2. Perform Division: Using the given numbers, we calculate the land area as follows:\newlineLand Area = 8,957,9078,957,907 people / 1218.11218.1 people per square mile
  3. Round to Nearest: Perform the division to find the land area: \newlineLand Area 7354.7\approx 7354.7 square miles
  4. Choose Nearest Option: Since we need to approximate the land area to the nearest square mile, we round 7354.77354.7 to the nearest whole number.\newlineLand Area 7355\approx 7355 square miles
  5. Final Answer: Looking at the answer choices, we see that 73557355 is not an option, but 73547354 is the closest to our calculated value. Therefore, we choose the nearest option provided.\newlineFinal Answer: B 7,3547,354 square miles

More problems from Exponential growth and decay: word problems