What will be the operating cost for a 100-W lamp continuously for 1 week when the power utility rate is 15¢/kWh?Group of answer choices$2.52$3.00$0.52$1.90
Question
What will be the operating cost for a 100-W lamp continuously for 1 week when the power utility rate is 15¢/kWh?Group of answer choices3.001.90
Solution
First, we need to convert the power of the lamp from watts to kilowatts because the utility rate is given in cents per kilowatt-hour (kWh).
1 kilowatt (kW) = 1000 watts (W)
So, 100 W = 0.1 kW
Next, we need to calculate how many hours the lamp will be operating for 1 week.
1 day = 24 hours 1 week = 7 days
So, 1 week = 24 hours/day * 7 days/week = 168 hours
The total energy consumed by the lamp in 1 week is therefore:
Energy = Power * Time = 0.1 kW * 168 hours = 16.8 kWh
Finally, we can calculate the operating cost by multiplying the energy consumed by the utility rate:
Cost = Energy * Rate = 16.8 kWh * 15¢/kWh = 252¢
Since 1 dollar = 100 cents, the cost in dollars is:
252¢ = $2.52
So, the operating cost for a 100-W lamp continuously for 1 week when the power utility rate is 15¢/kWh is $2.52.
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