Final answer:
The cost of operating a large household air conditioner that consumes 15.0 kW of power for 3.00 hours per day over 30 days at $0.110 per kW·h is $148.50, corresponding to answer option A.
Step-by-step explanation:
To calculate the cost of operating a large household air conditioner, we need to multiply the power consumption of the air conditioner by the number of hours it is used per day, the number of days it is used, and the cost of electricity per kilowatt-hour.
The air conditioner consumes 15.0 kW of power and is used for 3.00 hours per day over a period of 30.0 days. With the cost of electricity being $0.110 per kW·h, the calculation is as follows:
- Power consumption: 15.0 kW
- Hours per day: 3.00 h
- Days: 30.0 d
- Cost of electricity: $0.110/kW·h
The total energy consumed is calculated by:
Total Energy (kW·h) = Power (kW) × Hours per day (h) × Days (d)
Total Energy = 15.0 kW × 3.00 h/day × 30.0 days = 1350 kW·h
The cost of this energy consumed is calculated by:
Total Cost = Total Energy × Cost of electricity ($/kW·h)
Total Cost = 1350 kW·h × $0.110/kW·h = $148.50
Therefore, the correct answer is A. $148.50.