Electricity costs 6 cents per kilowatt hour. In one month one home uses one mega watt of electricity. How much will the electric bill be? (Kilo to...

An important clarification:

A home cannot "use" one Megawatt of electricity because a Megawatt is a unit of Power, not a unit of electricity. Instead, we would say that the home uses one Megawatt hour (MWh) of electricity. A Megawatt, like a Watt, is a measure of power, not electricity used. Power is the rate at which (electrical) energy is consumed or work is performed; think of a 100 W lightbulb. This lightbulb uses electricity at a rate of 100 Joules per second, or 100 Watts.

One Megawatt is equivalent to 1,000,000 Watts or 1,000,000 Joules/second, and one Megawatt hour is equivalent to 1,000 kilowatt hours.

Assuming a home uses 1 Megawatt hour of electricity in a given month, however, they are using

  `1 MWh * (1,000 kWh)/(1 MWh) = 1,000 kWh`

Paying at a rate of $.06 per kWh, the home pays:

`($0.06)/(kWh) * 1,000kWh = $60.00`

Therefore, the home pays $60.00 for the month in which they used 1 Megawatt hour of electricity.

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