Final answer:
The microwave uses 315,000 Joules of energy when operating for 6 minutes 30 seconds.
Step-by-step explanation:
To find the energy used by a microwave, we can use the formula:
Energy = Power x Time
In this case, the power of the microwave is 750 W and the time it operates for is 6 minutes 30 seconds (or 6.5 minutes).
Converting the time to minutes, we have:
6.5 minutes + 0.5 minutes = 7 minutes
Now we can calculate the energy used:
Energy = 750 W x 7 minutes
Since 1 Watt = 1 Joule/second and 1 minute = 60 seconds, we can convert to Joules:
Energy = 750 Joules/second x 7 minutes x 60 seconds/minute
Simplifying:
Energy = 750 x 7 x 60 Joules
Plugging the numbers into a calculator gives us:
Energy = 315,000 Joules
Therefore, the microwave uses 315,000 Joules of energy when operating for 6 minutes 30 seconds.