NSC Mathematical Literacy Classifying and organising data: The Western Cape water crisis be

Question

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 recommends a daily limit of 50 litres per person.

TABLE 1 below is a guide on maximum household water consumption.

TABLE 1: Maximum household water consumption guide

| NUMBER OF OCCUPANTS PER HOUSEHOLD | MAXIMUM LITRES PER DAY | MAXIMUM LITRES PER MONTH |
|-------------------------------------|-------------------------|--------------------------|
| 1                                   | 50                      | 1 500                    |
| 2                                   | 100                     | 3 000                    |
| 3                                   | 150                     | 4 500                    |
| 4                                   | 200                     | 6 000                    |
| 5                                   | 300                     | 9 000                    |
| 6                                   | 400                     | 12 000                   |
| 7                                   | 500                     | 15 000                   |
| 8                                   | 600                     | 18 000                   |
| 9                                   | 700                     | 21 000                   |
| 10                                  | 800                     | 24 000                   |
| 11                                  | 1 000                   | 30 000                   |
| 12                                  | 1 500                   | 45 000                   |
| 30                                  | 1 500                   | 45 000                   |
| 50                                  | 2 500                   | 75 000                   |

Use the information above to answer the questions that follow.

1.1.1 Calculate the missing values A and B.

1.1.2 They stated that the approximate litres per month were calculated for the number of days in July.

Verify, showing ALL calculations, whether this statement is valid.

1.1.3 If you have more than FOUR occupants living on your property, you need to allow for an increase in your water usage.

- One occupant more than four – an additional 5% is allowed on the maximum litres per day.
- Two occupants more than four – an additional 10% is allowed on the maximum litres per day.
- Three or more occupants more than four – an additional 20% is allowed on the maximum litres per day.

(a) Mr and Mrs Vellem, their four children, two grandchildren and Mr Vellem's mother and father all live on the Vellem property.

Calculate (in kilolitres) the maximum volume of water the Vellem household can use in May 2018.

(b) TABLE 2 below shows the stepped water tariff rates (sliding scale) for residential properties in Cape Town. As from 1 February 2018 level 6 tariffs were charged.

TABLE 2: Stepped water tariff rates (sliding scale) for residential households in Cape Town

| STEP | VOLUME OF WATER USED (1 kℓ = 1 000 L) | LEVEL 6 R/ℓ (INCLUDING VAT) |
|------|---------------------------------------|------------------------------|
| 1    | above 0 kℓ to 6 kℓ                   | R 4,65                       |
| 2    | above 6 kℓ to 10,5 kℓ                | R 17,75                      |
| 3    | above 10,5 kℓ to 20 kℓ                | R 25,97                      |
| 4    | above 20 kℓ to 35 kℓ                 | R 32,97                      |
| 5    | above 35 kℓ to 50 kℓ                 | R 41,67                      |
| 6    | more than 50 kℓ                       | R 57,50                      |

Use the table to calculate the amount a household will have to pay for consuming 15,3 kℓ.

Step ONE: Calculate how a household can save water.

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

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

Calculate the missing values A and B.

They stated that the approximate litres per month were calculated for the number of days in July. Verify, showing ALL calculations, whether this statement is valid.

If you have more than FOUR occupants living on your property, you need to allow for an increase in your water usage.

Calculate (in kilolitres) the maximum volume of water the Vellem household can use in May 2018.

Use the table to calculate the amount a household will have to pay for consuming 15,3 kℓ.

Step ONE: Calculate how a household can save water.

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