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 choices
3.00
1.90
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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