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Calculate the cost of using a washing machine rated at 1 kW for 5 hours per week for 7 weeks - Junior Cycle Science - Question (b) - 2013

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Calculate the cost of using a washing machine rated at 1 kW for 5 hours per week for 7 weeks. (The net cost of one unit is 20 cent.) Calculate _____________________... show full transcript

Worked Solution & Example Answer:Calculate the cost of using a washing machine rated at 1 kW for 5 hours per week for 7 weeks - Junior Cycle Science - Question (b) - 2013

Step 1

Calculate the total energy consumed

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Answer

To find the total energy consumed by the washing machine over the 7 weeks, we can use the formula:

Total Energy=Power×Time\text{Total Energy} = \text{Power} \times \text{Time}

Here, the power is 1 kW (or 1 unit), and the time is 5 hours per week for 7 weeks:

Total Energy=1 kW×5 hours/week×7 weeks=35 kWh\text{Total Energy} = 1 \text{ kW} \times 5 \text{ hours/week} \times 7 \text{ weeks} = 35 \text{ kWh}

Step 2

Calculate the cost

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Answer

Given the net cost of one unit is 20 cent (or $0.20), we can calculate the total cost using:

Total Cost=Total Energy×Cost per unit\text{Total Cost} = \text{Total Energy} \times \text{Cost per unit}

Thus:

Total Cost=35 units×0.20=7 dollars\text{Total Cost} = 35 \text{ units} \times 0.20 = 7 \text{ dollars}

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