Question

Arbuckle County has an area of 1,424 square miles with a population of 854,786 people.a) Determine the population density. Round to the nearest tenth.b.) What is the population density in people per square kilometers (Recall 1 km = 0.62 miles). Round to the nearest tenth.______people per sqaure kilo c.) Baxter County has an area of 2,608 square miles. How many people would be in Baxter County, if the population density were the same as Arbuckle County? Round to the nearest person._____people.

Answer 1

Given that Arbuckle County has an area of:

`1,424\text{ }square\text{ }miles`

And has a population of:

`854,786\text{ }people`

a) You need to use the formula for calculating the Population Density:

`Population\text{ }Density=\frac{Number\text{ }of\text{ }people}{Land\text{ }area}`

Therefore, by substituting values into the formula and evaluating, you get:

`Population\text{ }Density=\frac{854786\text{ }people}{1424\text{ }square\text{ }miles}`
`Population\text{ }Density\approx600.3\frac{people}{square\text{ }mile}`

b) You need to convert the area from square miles to square kilometers.

You know that:

`1\text{ }km=0.62\text{ }mi`

`(1\text{ }km)^2=(0.62\text{ }mi)^2\Rightarrow1km^2=0.3844\text{ }mi^2`

Now you can set up the conversion:

`(1424\text{ }mi^2)(\frac{1\text{ }km^2}{0.3844mi^2})`

Evaluating, you get:

`\approx3704.5\text{ }km^2`

Using the formula for Population Density, you get:

`Population\text{ }Density=\frac{854786\text{ }people}{3704.5\text{ }square\text{ }kilometers}`
`Population\text{ }Density\approx230.7\frac{people}{square\text{ }kilometer}`

c) You know that Baxter County has an area of 2,608 square miles, if the population density were the same as Arbuckle County, you can substitute values into the formula used before and solve for the number of people:

`600.3=(People)/(2608)`
`\begin{gathered} 600.3\cdot2608=People \\ People\approx1,565,580 \end{gathered}`

Hence, the answers are:

a)

`600.3\text{ }people\text{ }per\text{ }square\text{ }mile`

b)

`230.7\text{ }people\text{ }per\text{ }square\text{ }kilometer`

c)

`1,565,580\text{ }people`