Question

A region with a 7-mile radius has a population density of about 2200 people per square mile. Find the number of people who live in the region to the nearest ten thousand.

Please include step by step explanation if you’re able to. :)

Answer 1

15,400 people

Explanation:

From the question, we were given the following values:

Land area = 7 miles radius

Population Density = 2200 people per square mile

Step 1

The formula for population density is given as:

Population Density = Number of People ÷ Land Area

Since in the question we were asked to calculate the number of people who love in the region, we can derive that formula from the Population density formula

Population Density = Number of People/ Land Area

So we cross multiply

Hence,

The formula for the number of people = Population density × Land Area

= 2200 people per square mile × 7 mile radius

= 15,400

Hence the Number of People who live in the region to the nearest ten thousand is 15,400 people.

Answer 2

Approximately 338,000 people live in that area.

Explanation:

In order to solve this problem we first need to find the area of the region, since it's delimited by a 7 miles radius, then we can assume it's a circular region. The area of the circle can be calculated by the following formula:

area = pi*r² = 3.14*(7)² = 153.86 miles²

Since the region has a density of 2200 people per square mile and the density is given by the formula:

density = number of people / area

We can find the number of people living in the region by doing:

number of people = density*area

Applying the data from the problem:

number of people = 2200*(153.86) = 338,492 people