The Western Cape water crisis began in 2015 resulting in a severe water shortage in Cape Town - NSC Mathematical Literacy - Question 1 - 2019 - Paper 2
Question 1
The Western Cape water crisis began in 2015 resulting in a severe water shortage in Cape Town. Hence the province declared Level 6B water restrictions. Level 6B reco... show full transcript
Worked Solution & Example Answer:The Western Cape water crisis began in 2015 resulting in a severe water shortage in Cape Town - NSC Mathematical Literacy - Question 1 - 2019 - Paper 2
Step 1
Calculate the missing values A and B.
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Answer
To find values A and B:
A is calculated as follows:
For 50 occupants:
A=50×150=750 litres per day
Maximum litres per month:
750×30=22500 litres per month
B involves calculating for households of 1 occupant:
For 1 occupant, the maximum litres per day is 50:
B=50×150=750 litres per day
Maximum litres per month:
750×30=22500 litres per month
Step 2
They stated that the approximate litres per month were calculated for the number of days in July.
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Answer
To verify the calculation for July (31 days):
Maximum litres per day: 150
Total for July:
150 litres/day×31 days=4650 litres
The correct value should be:
150×31=4650
Hence, the initial statement is incorrect, as expected litres for a month (31 days) differs from values stated.
Step 3
If there are more than FOUR occupants living on your property, you need to pay for an increase in your water rate.
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Answer
Calculating the increased rate based on occupants:
For 5 occupants:
Additional 5% on 150 litres:
150+(0.05×150)=157.5 litres/day
For 6 occupants:
Additional 10% on 150 litres:
150+(0.10×150)=165 litres/day
For 7 or more occupants:
Additional 20% on 150 litres:
150+(0.20×150)=180 litres/day
This shows how rates increase with the number of occupants.
