Question

The area of Europe is approximately 9.94 × 106 square kilometers. Its population is approximately 7.31 × 108 people. What is the approximate population density (people per square kilometer) of Europe? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.

Answer 1

The population density is 73.54 people per square kilometer

Solution:

Given that,

Area of europe =
`9.94 * 10^6` square kilometers

Population =
`7.31 * 10^8`

To find: population density

The formula for population density is given as:

`\text{ population density } = \frac{\text{ number of people }}{\text{ land area }}`

Substituting the values in formula, we get

`\text{Population density } = (7.31 * 10^8)/(9.94 * 10^6)\\\\\text{ use the law of exponent } (a^m)/(a^n) = a^(m-n)\\\\\text{Population density } = 0.7354 * 10^(8-6)\\\\\text{Population density } = 0.7354 * 10^2\\\\\text{Population density } = 73.541`

On rounding to nearest hundreth (two decimal places ), we get 73.54

Thus the population density is 73.54 people per square kilometer