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2.2 Defermine the difference in South African population between 2011 and 2022. The South African population grew by \( 19,8 \% \) between 2011 and 2022 from 51,7 milion to 62 millionl. Show by means of calculations whether the percentage increase is correct or not.

Ask by Kelley Fowler. in South Africa
Mar 09,2025

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Answer

The population increased by approximately 19.92%, which is very close to the given 19.8%.

Solution

The population in 2011 was \( 51.7 \) million and in 2022 it was \( 62 \) million. 1. First, calculate the increase in population: \[ \text{Increase} = 62 - 51.7 = 10.3 \text{ million} \] 2. Next, determine the percentage increase using the original population: \[ \text{Percentage Increase} = \frac{10.3}{51.7} \times 100 \] 3. Compute the fraction: \[ \frac{10.3}{51.7} \approx 0.1992 \] 4. Multiply by 100 to convert to a percentage: \[ 0.1992 \times 100 \approx 19.92\% \] The calculated percentage increase, \( 19.92\% \), is very close to the given \( 19.8\% \). Any slight discrepancy is likely due to rounding.

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The Deep Dive

To find the percentage increase, you can use the formula: \[ \text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \] In this case, the New Value (2022 population) is 62 million, and the Old Value (2011 population) is 51.7 million. Calculating the difference: \[ 62 - 51.7 = 10.3 \text{ million} \] Now, plug it into the formula: \[ \text{Percentage Increase} = \left( \frac{10.3}{51.7} \right) \times 100 \approx 19.87\% \] So, the percentage increase of approximately \( 19.87\% \) confirms the reported growth of \( 19.8\% \) is indeed correct! A fun fact: Population statistics provide crucial insights into a country’s demographic trends, helping shape everything from urban planning to healthcare services. It's fascinating how understanding these numbers can influence where new schools, hospitals, and infrastructure projects will be developed! Additionally, evident in the steady population growth, South Africa's diversity is reflected in its vibrant cultures and languages. With over 11 official languages and various ethnic groups, the country showcases a rich tapestry of traditions and values influenced by its history. Exploring this cultural richness is as rewarding as tracking the numbers!

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