Answer :
### Question 4
Thulamela Municipality uses the following tariff table to calculate water consumption for 2022/2023.
[tex]\[ \begin{array}{|c|c|c|} \hline \text{Bracket} & \text{Water Consumption (per kl)} & \text{Cost (in Rands)} \\ \hline 1 & 0 \, \text{kl} - 6 \, \text{kl} & \text{Free} \\ \hline 2 & 6.1 \, \text{kl} - 15 \, \text{kl} & R \, 7.56 \\ \hline 3 & 15.1 \, \text{kl} - 25 \, \text{kl} & R \, 9.76 \\ \hline 4 & 25.1 \, \text{kl} \text{and more} & R \, 10.20 \\ \hline \end{array} \][/tex]
#### 4.1. Define the term tariff according to the context.
In this context, a tariff refers to the price or cost imposed on water consumption within specific consumption brackets.
#### 4.2. Determine the unit of measurement used in the above table.
The unit of measurement used in the table is kiloliters (kl).
#### 4.3. Calculate the total cost when 5.9 kl have been consumed.
To calculate the total cost for consuming 5.9 kl of water, we identify which bracket this consumption falls into. According to the table, consumption between 0 kl and 6 kl is free. Hence, for 5.9 kl of water:
- Bracket: 0 kl - 6 kl
- Cost: Free
So, the total cost for consuming 5.9 kl of water is:
[tex]\[ \text{Total Cost} = 0 \, \text{Rands} \][/tex]
#### 4.4. Determine the total cost when using 20 kl.
To calculate the total cost for consuming 20 kl of water, we need to break it down into the relevant brackets:
1. From 0 kl to 6 kl, the cost is Free.
2. From 6.1 kl to 15 kl, there are 8.9 kl that fall into this bracket, costing R 7.56 per kl.
[tex]\[ \text{Cost for 6.1 kl to 15 kl} = 8.9 \, \text{kl} \times 7.56 \, \text{Rands/kl} = 67.284 \, \text{Rands} \][/tex]
3. From 15.1 kl to 20 kl, there are 4.9 kl that fall into this bracket, costing R 9.76 per kl.
[tex]\[ \text{Cost for 15.1 kl to 20 kl} = 4.9 \, \text{kl} \times 9.76 \, \text{Rands/kl} = 47.556 \, \text{Rands} \][/tex]
Adding up these costs gives the total cost for consuming 20 kl of water:
[tex]\[ \text{Total Cost} = 0 \, \text{Rands} + 67.284 \, \text{Rands} + 47.556 \, \text{Rands} = 114.84 \, \text{Rands} \][/tex]
Thus, the total cost when using 20 kl is approximately:
[tex]\[ 114.84 \, \text{Rands} \][/tex]
### Summary of Answers:
4.1. A tariff, in this context, is the price or cost imposed on water consumption within specific consumption brackets.
4.2. The unit of measurement used in the table is kiloliters (kl).
4.3. For consuming 5.9 kl of water, the total cost is:
[tex]\[ 0 \, \text{Rands} \][/tex]
4.4. For consuming 20 kl of water, the total cost is:
[tex]\[ 114.84 \, \text{Rands} \][/tex]
Thulamela Municipality uses the following tariff table to calculate water consumption for 2022/2023.
[tex]\[ \begin{array}{|c|c|c|} \hline \text{Bracket} & \text{Water Consumption (per kl)} & \text{Cost (in Rands)} \\ \hline 1 & 0 \, \text{kl} - 6 \, \text{kl} & \text{Free} \\ \hline 2 & 6.1 \, \text{kl} - 15 \, \text{kl} & R \, 7.56 \\ \hline 3 & 15.1 \, \text{kl} - 25 \, \text{kl} & R \, 9.76 \\ \hline 4 & 25.1 \, \text{kl} \text{and more} & R \, 10.20 \\ \hline \end{array} \][/tex]
#### 4.1. Define the term tariff according to the context.
In this context, a tariff refers to the price or cost imposed on water consumption within specific consumption brackets.
#### 4.2. Determine the unit of measurement used in the above table.
The unit of measurement used in the table is kiloliters (kl).
#### 4.3. Calculate the total cost when 5.9 kl have been consumed.
To calculate the total cost for consuming 5.9 kl of water, we identify which bracket this consumption falls into. According to the table, consumption between 0 kl and 6 kl is free. Hence, for 5.9 kl of water:
- Bracket: 0 kl - 6 kl
- Cost: Free
So, the total cost for consuming 5.9 kl of water is:
[tex]\[ \text{Total Cost} = 0 \, \text{Rands} \][/tex]
#### 4.4. Determine the total cost when using 20 kl.
To calculate the total cost for consuming 20 kl of water, we need to break it down into the relevant brackets:
1. From 0 kl to 6 kl, the cost is Free.
2. From 6.1 kl to 15 kl, there are 8.9 kl that fall into this bracket, costing R 7.56 per kl.
[tex]\[ \text{Cost for 6.1 kl to 15 kl} = 8.9 \, \text{kl} \times 7.56 \, \text{Rands/kl} = 67.284 \, \text{Rands} \][/tex]
3. From 15.1 kl to 20 kl, there are 4.9 kl that fall into this bracket, costing R 9.76 per kl.
[tex]\[ \text{Cost for 15.1 kl to 20 kl} = 4.9 \, \text{kl} \times 9.76 \, \text{Rands/kl} = 47.556 \, \text{Rands} \][/tex]
Adding up these costs gives the total cost for consuming 20 kl of water:
[tex]\[ \text{Total Cost} = 0 \, \text{Rands} + 67.284 \, \text{Rands} + 47.556 \, \text{Rands} = 114.84 \, \text{Rands} \][/tex]
Thus, the total cost when using 20 kl is approximately:
[tex]\[ 114.84 \, \text{Rands} \][/tex]
### Summary of Answers:
4.1. A tariff, in this context, is the price or cost imposed on water consumption within specific consumption brackets.
4.2. The unit of measurement used in the table is kiloliters (kl).
4.3. For consuming 5.9 kl of water, the total cost is:
[tex]\[ 0 \, \text{Rands} \][/tex]
4.4. For consuming 20 kl of water, the total cost is:
[tex]\[ 114.84 \, \text{Rands} \][/tex]
