Answered

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### Options:
A. [tex]\( R7,575.50 \)[/tex]
B. [tex]\( R7,424.50 \)[/tex]
C. [tex]\( R8,325.50 \)[/tex]
D. [tex]\( R7,574.50 \)[/tex]

### Question 12:
The water tariffs are shown in the table below. Calculate what a household will pay if the monthly consumption is 12.5 kilolitres.

Give your answer correct to 2 decimal places.

[tex]\[
\begin{array}{|c|c|c|}
\hline
\text{From (k)} & \text{To (k)} & \text{Rand per kl (VAT incl.)} \\
\hline
0 & 6.0 & \text{FREE} \\
\hline
6.0 & 10.5 & R4.55 \\
\hline
10.5 & 20.0 & R9.70 \\
\hline
20.0 & 35.0 & R14.38 \\
\hline
35.0 & 50.0 & R17.76 \\
\hline
50.0+ & \text{and above} & R23.43 \\
\hline
\end{array}
\][/tex]

[tex]\[
\text{Answer: } R56.88
\][/tex]

Sagot :

GinnyAnswer
To calculate the cost a household would pay for consuming 12.5 kilolitres of water per month, we must follow the tariff rates defined in the table.

1. Free Consumption: 0 to 6.0 kilolitres
- Cost: [tex]\( \text{FREE} \)[/tex]
- Calculation: [tex]\( 6.0 \text{ kl} \times R0.00/\text{kl} = R0.00 \)[/tex]
- Total cost for this slab: [tex]\( R0.00 \)[/tex]

2. Second Slab: 6.0 to 10.5 kilolitres
- Cost per kilolitre: [tex]\( R4.55 \)[/tex]
- Consumption in this slab: [tex]\( (10.5 \text{ kl} - 6.0 \text{ kl}) = 4.5 \text{ kl} \)[/tex]
- Calculation: [tex]\( 4.5 \text{ kl} \times R4.55/\text{kl} = R20.48 \)[/tex]
- Total cost for this slab: [tex]\( R20.48 \)[/tex]

3. Third Slab: 10.5 to 12.5 kilolitres
- Cost per kilolitre: [tex]\( R9.70 \)[/tex]
- Consumption in this slab: [tex]\( (12.5 \text{ kl} - 10.5 \text{ kl}) = 2.0 \text{ kl} \)[/tex]
- Calculation: [tex]\( 2.0 \text{ kl} \times R9.70/\text{kl} = R19.40 \)[/tex]
- Total cost for this slab: [tex]\( R19.40 \)[/tex]

4. Summing the Total Costs Across All Slabs:
- Free Slab: [tex]\( R0.00 \)[/tex]
- Second Slab: [tex]\( R20.48 \)[/tex]
- Third Slab: [tex]\( R19.40 \)[/tex]

Total cost for 12.5 kilolitres is:
[tex]\[ \text{Total cost} = R0.00 + R20.48 + R19.40 = R39.88 \][/tex]

So, a household will pay [tex]\( R39.88 \)[/tex] for a monthly consumption of 12.5 kilolitres.
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