A stata capital has a population of 600 000 and a population density of 1200 people/km square. The rest of the state has a population of 2.4 million and a density of 60 people/km square. Calculate the population density of the whole state correct to 2 s.f.
To calculate the population density of the whole state, we need to first find the total population and the total land area of the state.
Population in the capital = 600,000
Population density in the capital = 1200 people/km²
Land area of the capital = Population / Population density = 600,000 / 1200 = 500 km²
Population in the rest of the state = 2,400,000
Population density in the rest of the state = 60 people/km²
Land area of the rest of the state = Population / Population density = 2,400,000 / 60 = 40,000 km²
Total population of the state = Population in the capital + Population in the rest of the state = 600,000 + 2,400,000 = 3,000,000
Total land area of the state = Land area of the capital + Land area of the rest of the state = 500 + 40,000 = 40,500 km²
Population density of the whole state = Total population / Total land area = 3,000,000 / 40,500 ≈ 74.07 people/km²
Therefore, the population density of the whole state is approximately 74.07 people/km² when rounded to 2 significant figures.