High School

Determine the difference in the South African population between 2011 and 2022.

The South African population grew by 19.8% from 51.7 million in 2011 to 62.0 million in 2022.

Calculate the increase in population.

Answer :

To determine the difference in South African population between 2011 and 2022, we can follow these steps:

1. Identify the Initial Population: In 2011, the population was 51.7 million people.

2. Understand the Growth Rate: The population grew by 19.8% over the period from 2011 to 2022.

3. Convert the Growth Rate to a Decimal: To use the percentage in calculations, convert 19.8% to a decimal. This is done by dividing by 100, so 19.8% becomes 0.198.

4. Calculate the Population in 2022: To find the population in 2022, you add the growth to the original population. This is done by multiplying the initial population by the sum of one plus the growth rate (1 + 0.198).
[tex]\[
\text{Population in 2022} = 51.7 \times (1 + 0.198) = 61.9366 \, \text{million}
\][/tex]

5. Determine the Population Difference: Subtract the population in 2011 from the population in 2022 to find the difference.
[tex]\[
\text{Population Difference} = 61.9366 - 51.7 = 10.2366 \, \text{million}
\][/tex]

So, the South African population increased by approximately 10.24 million people from 2011 to 2022.

Other Questions