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Electricity provider A charges 25 cents per kilowatt hour (kWh) for electricity, plus a fixed monthly charge of $40 - HSC - SSCE Mathematics Standard - Question 21 - 2023 - Paper 1
Question 21
Electricity provider A charges 25 cents per kilowatt hour (kWh) for electricity, plus a fixed monthly charge of $40. (a) Complete the table showing Provider A's mon... show full transcript
Worked Solution & Example Answer:Electricity provider A charges 25 cents per kilowatt hour (kWh) for electricity, plus a fixed monthly charge of $40 - HSC - SSCE Mathematics Standard - Question 21 - 2023 - Paper 1
Step 1
Step 2
Electricity used in a month (kWh): 400
Answer
To calculate the charge for 400 kWh:
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Calculate the variable charge: \[ 400 ext{ kWh} imes 0.25 ext{ dollars/kWh} = 100 ext{ dollars} \]
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Add the fixed monthly charge: \[ 100 ext{ dollars} + 40 ext{ dollars} = 140 ext{ dollars} \]
Thus, the monthly charge for 400 kWh is $140.
Step 3
Electricity used in a month (kWh): 1000
Answer
To calculate the charge for 1000 kWh:
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Calculate the variable charge: \[ 1000 ext{ kWh} imes 0.25 ext{ dollars/kWh} = 250 ext{ dollars} \]
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Add the fixed monthly charge: \[ 250 ext{ dollars} + 40 ext{ dollars} = 290 ext{ dollars} \]
Thus, the monthly charge for 1000 kWh is $290.