TABLE 1 below shows census data for three municipalities for 2001 and 2011 - NSC Mathematical Literacy - Question 4 - 2016 - Paper 1
Question 4
TABLE 1 below shows census data for three municipalities for 2001 and 2011.
TABLE 1: CENSUS DATA FOR TLOKWE, BLOUBERG AND BREDE VALLEY MUNICIPALITIES (2001 AND 2011... show full transcript
Worked Solution & Example Answer:TABLE 1 below shows census data for three municipalities for 2001 and 2011 - NSC Mathematical Literacy - Question 4 - 2016 - Paper 1
Step 1
Identify the municipality that had the highest number of employed people during 2011.
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Answer
The municipality with the highest number of employed people in 2011 is Breede Valley. This can be determined by analyzing the total population and inference from the unemployment rate.
Step 2
Calculate the difference in the total population of the municipality that had the largest increase in total population from 2001 to 2011.
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Blouberg experienced the largest increase in total population. The difference is calculated as follows: 162 962 (2011) - 171 221 (2001) = 34 409.
Step 3
Calculate the number of elderly people in the Blouberg municipality during 2001.
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In Blouberg, the elderly population (aged 65+) in 2001 was 6.9% of the total population. Thus, the number is calculated as follows: ( 6.9% \times 171 221 \approx 10 474. )
Step 4
A person living in the Breede Valley municipality during 2011 is randomly selected. Determine the probability that the person is employed. Express the probability as a common fraction in its simplest form.
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The employed rate can be calculated as follows: ( P = \frac{100% - 14.4%}{100%} = \frac{85.6}{100} = \frac{107}{125}. )
Step 5
Which municipality showed the largest percentage increase in the use of electricity from 2001 to 2011?
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Answer
Blouberg municipality showed the largest percentage increase in electricity use from 2001 to 2011.
Step 6
Calculate the average population growth rate for the Breede Valley municipality from 2001 to 2011.
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The average population growth rate for the Breede Valley can be calculated using the formula: [ \text{Average population growth rate} = \frac{166 825 - 146 387}{146 387} \times 100 \approx 13.96%. ]
Step 7
Calculate, to the nearest km², the land area of the Tlokwe municipality in 2011.
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The land area of Tlokwe municipality is calculated based on the population density: ( 162 762 , \text{people} \div 61 , \text{people/km²} \approx 2678 \text{km²}. )