Math Problem Statement
Light Emitting Diodes (LEDs) use about 30% of the electrical power consumed by compact fluorescent lamps (CFLs) of the same brightness. If your CFL’s consumption averages 2.5 kWh/day, and the electrical tariff is 43c/kWh, calculate the savings you could achieve by replacing your lights with LEDs? (Ignore the capital cost of the lamps). Select one correct answer.
Solution
To calculate the savings achieved by replacing compact fluorescent lamps (CFLs) with light-emitting diodes (LEDs), follow these steps:
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Current CFL consumption:
- CFL consumption = 2.5 kWh/day
- Cost per kWh = 43 cents/kWh
So, the daily cost of using CFLs:
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LED power consumption:
- LEDs use 30% of the power consumed by CFLs, so LED consumption will be:
-
Daily cost with LEDs:
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Savings per day:
So, the savings per day by switching from CFLs to LEDs is approximately 75 cents/day.
Summary:
- Daily savings: $0.7525/day
- Correct answer: The closest option is 75 cents/day.
Would you like to see further details or have any questions?
Here are 5 related questions to expand your understanding:
- How do energy tariffs affect overall electricity savings when switching to LEDs?
- How much energy would you save over a month by switching to LEDs?
- What is the difference in lifespan between LEDs and CFLs?
- What is the total yearly savings when using LEDs compared to CFLs?
- How does the efficiency of LEDs compare to incandescent bulbs?
Tip: Always consider both energy consumption and lifespan when calculating the total cost of ownership for light bulbs.
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Math Problem Analysis
Mathematical Concepts
Energy consumption calculations
Electricity cost calculations
Formulas
Power consumption calculation
Cost calculation based on electricity tariff
Theorems
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Suitable Grade Level
General Audience
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