[tex]$\text{1.} \kappa x \text{ used } = 6 + y + 23$[/tex]

Activity 2: Electricity Tariffs

1. Marisel stays in Bethlehem (Dihlabeng municipality) and she uses prepaid electricity. The tariffs for prepaid electricity in the Dihlabeng Municipality are:

\begin{tabular}{|l|c|}
\hline
Prepaid electricity (Including VAT) & Cost per kWh (R) \\
\hline
[tex]$0-50$[/tex] & 0.7986 \\
\hline
[tex]$51-350$[/tex] & 1.0755 \\
\hline
[tex]$351-600$[/tex] & 1.4356 \\
\hline
[tex]$\ \textgreater \ 600$[/tex] & 1.5735 \\
\hline
\end{tabular}

1.1.1 Show that the cost for 45 kWh of electricity is [tex]$R 35.94$[/tex].



Answer :

To determine the cost for 45 kWh of electricity, follow these steps:

1. Identify the relevant tariff:
According to the municipal tariff table, the cost per kWh for the range of 0 to 50 kWh is R 0.7986.

2. Calculate the total cost:
Since 45 kWh falls entirely within the 0 to 50 kWh range, multiply the number of kilowatt-hours (kWh) by the cost per kWh.

[tex]\[ \text{Total Cost} = \text{Number of kWh} \times \text{Cost per kWh} \][/tex]

3. Substitute the values:
[tex]\[ \text{Total Cost} = 45 \text{ kWh} \times R 0.7986 \text{ per kWh} \][/tex]

4. Compute the final cost:
[tex]\[ \text{Total Cost} = R 35.937 \][/tex]

5. Round to two decimal places:
The total cost, rounded to two decimal places, is:

[tex]\[ R 35.94 \][/tex]

Thus, the cost for 45 kWh of electricity is [tex]\( R 35.94 \)[/tex].