Question

The town electricity company supplies energy for the town’s 4550 homes. The average of amount of time electronics are being used in each home is 12 hours per day for 30 days. The electronics in one home draws a total of 25 A when connected to the house’s 120-V circuit. If the electricity company plans on bringing in $365,000 in revenue, how much should they charge per kwh for each home?

Answer 1

Answer:

$0.07 per kWh for one home

Explanation:

The formula for power is P=V*I where V represents voltage and I represents current. The power for one home is P=120V*25A=3000W = 3kW.

The amount of time for this problem can be calculated by first converting the number of days into hours and then dividing by 2 because the electricity is only used for half a day.

Time = 30 days * 24 hours per day = 720 hours

Half of this is 720 hours / 2 = 360 hours

The price per kWh can be calculated by using the relationship:

Revenue / homes in town = price per kWh * hours * power

Rearranging to solve for price per kWh:

Price per kWh = revenue / (hours * power * homes in town)

Price per kWh = $\frac{365000}{360*3*4550} =\frac{365000}{4914000}=$ $0.0743 per kWh for one home.