Question

2.1 The Caledon Municipality provides Mr Thorn with a summary of the different types of electricity tariffs for the various electricity systems available in his district: System Prepaid Meter System 3-Part Flat Rate CALEDON MUNICIPALITY Electricity Tariffs Fixed Monthly Charge Fixed Monthly Charge (excluding VAT) R79 kWh Cost of Prepaid (R) Cost of 3-Part Flat Rate (R) Electricity Charge (per kWh) 124,5c 2.1.1 Copy and complete the table below showing the cost for each of the systems. 0 0 79 Electricity Charge (per kWh) 94,5c 50 100 150 200 250 2.1.2 Use the completed table to draw graphs showing the cost of the two systems. Draw the graphs on the same set of axes. 2.1.3 Use the graph to determine the electricity consumption for which the cost of the two systems are the same.​

Answer 1

| Electricity Consumption(kWh)| Prepaid Meter System Cost (R) | 3-Part Flat Rate System Cost (R) |
|-----------------------------|--------------------------------|---------------------------------|
| 50 | R109,5 | R214,5 |
| 100 | R219 | R324 |
| 150 | R328,5 | R433,5 |
| 200 | R438 | R543 |
| 250 | R547,5 | R652,5 |

![Graph showing cost of Prepaid Meter System and 3-Part Flat Rate System for different electricity consumption values]

From the graph, we can see that the cost of both systems becomes the same at around 178 kWh of electricity consumption.