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2 years ago

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Magda wants to compare the population density of the two largest countries in the world. She can use this formula. K=P 2.59 M K

= population density (people per km2) P = population (millions) M = land area (million square miles) Canada has a population density of 3.57 people per km2 Russia has • a population of 143.96 million • a land area of 6.593 million square miles. Magda thinks that Russia has a greater population density than Canada. Is Magda correct? Show why you think this.

1 answer:

denis-greek [22]2 years ago

7 0

Answer:

Magda is incorrect

Step-by-step explanation:

Given

Formula:

$K = \frac{P}{2.59M}$

Population Density of Canada = 3.57 people per km²

Population of Russia = 143.96 million

Land Mass of Russia = 6.593 million square miles

Required

Which country has a greater population density.

First, the population density of Russia needs to be calculated using the given formula;

$K = \frac{P}{2.59M}$

Here, P = 143.96 million

M = 6.593 million square miles

Substitute these values in the above formula;

$K = \frac{143.96}{2.59 * 6.593}$

$K = \frac{143.96}{17.07587}$

$K = 8.43$ people per square miles

Before we can make any comparison, we have to convert the unit of K to people per square kilometre.

From unit of standard conversion;

1 square miles = 2.58999 square kilometre

Hence;

$K = \frac{8.43}{2.58999}$

$K = 3.25483882177$

$K = 3.25$ people per km²

Given that the Population Density of Canada = 3.57 people per km²

And We solved for the Population Density of Russia = 3.25 people per km²

By Comparison, the Population Density of Canada is greater than the Population Density of Russia;

Hence, Magda is incorrect

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