Question
Read and use ANNEXURE B to answer the questions that follow. 2.1 The ANNEXURE shows the population of South Africa was 62,0 million. Write down the population number in full numeric form. Including all the digits and separating thousands. Determine the difference in South African population between 2011 and 2022 . 2.3 (2) The South African population grew by \( 19,8 \% \) between 2011 and 2022 from 51,7 million to 62 million. Show by means of calculations whether the percentage increase is correct or not. It is projected that the South African population will increase by \( 17,045 \% \) from (3) 2022 to 2030 . Determine the projected South African population in 2030
Ask by Wood Sherman.
Mar 18,2025 19:53
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Answer
**2.1**
The population of South Africa is 62,000,000.
**2.2**
The population difference between 2011 and 2022 is 10,300,000.
**2.3 (2)**
The percentage increase from 2011 to 2022 is approximately 19.8%, which is correct.
**2.3 (3)**
The projected South African population in 2030 is approximately 72,551,900.
Solution
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South Africa’s population is written in full numeric form as 62,000,000. The difference between the population in 2011 (51.7 million) and 2022 (62 million) is 62,000,000 - 51,700,000 = 10,300,000.
To determine if the population increase of 19.8% is correct, we calculate it as follows:
The increase is \( 51,700,000 \times 0.198 = 10,253,600 \). Adding this to the 2011 population gives \( 51,700,000 + 10,253,600 = 61,953,600 \), which is quite close to 62 million, validating that the percentage increase is indeed approximately correct.
For the projected population in 2030, we calculate \( 62,000,000 \times (1 + 0.17045) = 62,000,000 \times 1.17045 = 72,553,900 \). Therefore, the projected South African population in 2030 is approximately 72,553,900.
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