Step-by-step explanation:
To calculate the cost of running the pump for 7.0 hours, we need to determine the energy consumption in kilowatt-hours (kWh) and then multiply it by the cost per kWh.
Step 1: Calculate the power consumption in kilowatts (kW):
Power (P) = Voltage (V) * Current (I)
P = 220V * 3.7A = 814W (watts)
Step 2: Convert the power to kilowatts (kW):
Power in kW = 814W / 1000 = 0.814kW
Step 3: Calculate the energy consumption in kilowatt-hours (kWh):
Energy (E) = Power (P) * Time (t)
E = 0.814kW * 7.0h = 5.698kWh
Step 4: Calculate the cost:
Cost = Energy (E) * Cost per kWh
Cost = 5.698kWh * $0.06/kWh
Now, calculate the cost:
Cost = 0.34188 dollars
So, the cost of running the pump for 7.0 hours at 6.0 cents per kWh is approximately $0.34.