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08 Apr 2025, 08:06
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Energy: 0.48
Cost: 0.27
For Christmas, a family decorated their home with Christmas lights. They installed two types of lights: string lights and icicle lights. During Christmas Day:
• Each string light has a power of 0.6 watts and runs for 10 hours.
• Each icicle light has a power of 2 watts and runs for 12 hours.
• The family uses 250 string lights and 20 icicle lights.
• The total electricity rate is $0.18 per kilowatt-hour (1 kilowatt = 1000 watts).
Based on the information provided, select for Energy the total energy consumption (in kilowatt-hours) of all icicle lights over their full 12-hour runtime on Christmas Day and select for Cost the total electricity cost (in dollars) of running all string lights for their full 10-hour runtime on Christmas Day.
• Each string light has a power of 0.6 watts and runs for 10 hours.
• Each icicle light has a power of 2 watts and runs for 12 hours.
• The family uses 250 string lights and 20 icicle lights.
• The total electricity rate is $0.18 per kilowatt-hour (1 kilowatt = 1000 watts).
Based on the information provided, select for Energy the total energy consumption (in kilowatt-hours) of all icicle lights over their full 12-hour runtime on Christmas Day and select for Cost the total electricity cost (in dollars) of running all string lights for their full 10-hour runtime on Christmas Day.
| Energy | Cost | |
| 0.24 | ||
| 0.27 | ||
| 0.36 | ||
| 0.48 | ||
| 0.50 | ||
| 0.65 |
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Official Answer
Energy: 0.48
Cost: 0.27
08 Apr 2025, 08:06
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Official Solution:
Energy (icicle lights):
Each icicle light: 2 * 12 = 24 watt-hours = 0.024 kWh
20 icicle lights: 20 * 0.024 = 0.48 kWh
Cost (string lights):
Each string light: 0.6 * 10 = 6 watt-hours = 0.006 kWh
250 string lights: 250 * 0.006 = 1.5 kWh
Cost: 1.5 * 0.18 = 0.27 dollars
Correct answer:
Energy "0.48"
Cost "0.27"
Bunuel
Energy (icicle lights):
Each icicle light: 2 * 12 = 24 watt-hours = 0.024 kWh
20 icicle lights: 20 * 0.024 = 0.48 kWh
Cost (string lights):
Each string light: 0.6 * 10 = 6 watt-hours = 0.006 kWh
250 string lights: 250 * 0.006 = 1.5 kWh
Cost: 1.5 * 0.18 = 0.27 dollars
Correct answer:
Energy "0.48"
Cost "0.27"
04 May 2025, 23:05
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When we say "each x light has power of 2 watts and runs for 12 hrs"
how is it wrong to assume that those 2 watts sustain 12hrs
so per hour consumption is 1/6watts
if question said
each x light needs 2watts/h and operates for 12 hrs
then 2*12 makes sense.
Is this how official question was framed, then i will have to be alert for such wordings
how is it wrong to assume that those 2 watts sustain 12hrs
so per hour consumption is 1/6watts
if question said
each x light needs 2watts/h and operates for 12 hrs
then 2*12 makes sense.
Is this how official question was framed, then i will have to be alert for such wordings
Bunuel
