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5. your refrigerator uses 700 watts per hour and is only \on\ for 1/3 o…

Question

  1. your refrigerator uses 700 watts per hour and is only \on\ for 1/3 of the day. how many kilowatts does your refrigerator use for one day? be sure to show all your work and circle your final answer. 16800 kilowatts for one day

Explanation:

Step1: Calculate the time the refrigerator is "ON"

One day has \(24\) hours. If it is "ON" for \(\frac{1}{3}\) of the day, then the time \(t\) it is "ON" is \(t = 24\times\frac{1}{3}=8\) hours.

Step2: Calculate the energy consumption

The power \(P = 700\) watts. The energy consumption \(E\) (in watt - hours) is given by the formula \(E=P\times t\). Substituting \(P = 700\) watts and \(t = 8\) hours, we get \(E=700\times8 = 5600\) watt - hours.
Since \(1\) kilowatt \(= 1000\) watts, to convert watt - hours to kilowatt - hours, we divide by \(1000\). So the energy consumption in kilowatt - hours is \(E=\frac{5600}{1000}=5.6\) kilowatt - hours.

Answer:

\(5.6\) kilowatts.