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Sagot :
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.
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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