Question

In 2010, the population of Atlanta, Georgia was 419,979 and the population density was 3153 people per mi². What was Atlanta's land area in 2010? Enter your answer as a decimal in the box. Round your answer to the nearest tenth

Answer 1

419979/3153=133.19981 that rounded is 133.2

419979/133.2=3152.9955 that rounded is 3153

Answer 2

`133.2\text{ Miles}^2`

Explanation:

We have been given that in 2010, the population of Atlanta, Georgia was 419,979 and the population density was 3153 people per mi².

Since we know that
`\text{Population density}=\frac{\text{Number of people}}{\text{Land area}}`, so upon substituting our given values in above formula we will get,

`\frac{\text{3153 people}}{\text{Miles}^2}=\frac{419,979\text{ people}}{\text{Land area}}`

`\text{Land area}=\frac{419,979\text{ people}}{\frac{\text{3153 people}}{\text{Miles}^2}}`

`\text{Land area}=\frac{419,979\text{ people}}{\text{3153 people}}* \text{Miles}^2`

`\text{Land area}=133.1998097\text{ Miles}^2\approx 133.2\text{ Miles}^2`

Therefore, the Atlanta's land area was 133.2 square miles.