Steply

A town of 45,000 people covers 15 km², find the population density

Step by step, with the reason for every step · Density, pressure, population density · Foundations

Step by step

The question

Question: find the population density when the population is 45,000 people and the area is 15 km².

Population 45,000 people, area 15 km². Find the population density.

1 Write the rule

The rule: population density is the population divided by the area.

population density = populationarea

Population density tells us how many people live on 1 km².

So its unit is people per km².

population density = the people on 1 km²
unit: people ÷ km² → people/km²

2 Put the numbers in

The population is 45,000.

The area is 15.

d = 45,00015

3 Work it out

Careful!

The population goes on the top.

The unit, people/km², shows it: people on the top.

Careful: not 1545,000 ✗

45,000 divided by 15 is 3000.

population density = 3000 people/km²

So the population density is 3000 people/km².

4 Check

Let's check.

3000 in each km², for 15 km²: 3000 times 15 is 45,000.

That is the population.

So the answer is right!

3000 people in each km²: 3000 × 15 = 45,000 people

Let's look back.

First: write the rule.

Then: put the numbers in.

Then: work it out.

Last: check.

Answer
population density = 3000 people/km²

Your turn

Try this one yourself, then check:

Population 5000 people, area 20 km². Find the population density.
Show the answer
population density = 250 people/km²

More from Density, pressure, population density

The whole lesson: Density, pressure, population density →