Question

A county in Alabama has a population of 90,000 people. It has an area of 800 mi2. How many people are there per square mile? A) about 72 B) about 88 C) about 113 D) about 720

Answer 1

Answer:

C) about 113

Step-by-step explanation:

"How many people are there per square mile?" means that we want a ratio with miles as denominator. In other words, to find the population density, we just need to divide the population by the land area (miles squared):

$population-density=\frac{people}{land-area}$

We know that the population of Alabama is 90,000 people and its land area is 800 miles squared, so $people=90000$ and $land-area=800mi^{2}$.

Replacing values:

$population-density=\frac{people}{land-area}$

$population-density=\frac{90000}{800mi^{2}}$

$population-density=112.5$

Which rounds to:

$population-density=113$

We can conclude that there are approximately 113 people per square mile in Alabama.