Answer:
To calculate the energy used, we need to multiply the power by the time for each appliance and then sum up the results.
For the washing machine:
Power = 400 watts
Time = 45 minutes = 45/60 hours = 0.75 hours
Energy used by the washing machine = Power x Time = 400 watts x 0.75 hours = 300 watt-hours
For the dryer:
Power = 2200 watts
Time = 1 hour
Energy used by the dryer = Power x Time = 2200 watts x 1 hour = 2200 watt-hours
Total energy used = Energy used by washing machine + Energy used by dryer = 300 watt-hours + 2200 watt-hours = 2500 watt-hours
Converting watt-hours to joules:
1 watt-hour = 3600 joules
Total energy used = 2500 watt-hours x 3600 joules/watt-hour = 9 x 10^6 joules
Therefore, the amount of energy used to clean a load of clothes in 45 minutes of washing and 1 hour of drying is approximately 9.00 x 10^6 J, which corresponds to option D.