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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

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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 calculate the missing values A and B from the table:

  1. Finding A:

    For 15 occupants, according to the table, the maximum litres per day can be calculated as:

    A=75050×50=750A = \frac{750}{50} \times 50 = 750

    So, A = 750 litres per day.

  2. Finding B:

    To find the maximum litres per month for 15 occupants:

    B=A×30=750×30=22,500B = A \times 30 = 750 \times 30 = 22,500

    Hence, B = 22,500 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:

  1. The total number of days in July is 31.

    Calculating maximum litres for July:

    Maximum litres for July=litres per day×number of days\text{Maximum litres for July} = \text{litres per day} \times \text{number of days}

    750×31=23,250750 \times 31 = 23,250

    This confirms that if they used 1,500 litres per day for 31 days:

    1,500×31=46,5001,500 \times 31 = 46,500

    The statement is therefore NOT valid as the values differ significantly.

Step 3

If there are more than FOUR occupants living on your property, you need to consider the following:

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Answer

Since Mr. and Mrs. Vellem have six occupants:

  • For one occupant over four:

    1extoccupant5% increase1 ext{ occupant} \rightarrow 5\% \text{ increase}

  • Thus, the maximum litres per day for the Vellem household would be:

    New maximum litres per day=750+(0.05×750)=787.5extlitres\text{New maximum litres per day} = 750 + \left(0.05 \times 750\right) = 787.5 ext{ litres}

Therefore, the Vellem household is entitled to adjust their water usage accordingly.

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