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Financial Maths, STD2 EQ-Bank 21

Part of George Sample's electricity bill is shown below.
  

  1. Calculate the supply charge for the billing period.   (1 mark)

  2. Show that the average daily usage is 12 kWh per day.   (1 mark)

  3. Assuming George used exactly 12 kWh of electricity each day, calculate his Tier 1 and Tier 2 usage over the period and hence the total charge for his electricity usage.   (2 marks)

Show Answer Only

a.    \(\$99.00\)

b.    \(\text{See worked solution}\)

c.    \(\$315.00\)

Show Worked Solution

a.    \(\text{Supply charge} = 90 \times \$1.10 = \$99.00\)
 

b.    \(\text{Average daily usage} = \dfrac{1080}{90} = 12 \ \text{kWh per day}\)
 

c.    \(\text{Tier 1 usage} = 90 \times 10 = 900 \ \text{kWh} \ @ \ \$0.28 = \$252.00\)

\(\text{Tier 2 usage} = 1080-900 = 180 \ \text{kWh} \ @ \ \$0.35 = \$63.00\)

\(\text{Total usage charge} = \$252.00 + \$63.00 = \$315.00\)