Question

If the time an appliance can run on 1 kilowatt-hour of electricity is inversely proportional to the wattage rating, what happens to the time if the wattage increases?

a) Time increases
b) Time decreases
c) Time remains constant
d) Time fluctuates

Answer 1

When wattage rating increases, the time an appliance can run on 1 kilowatt-hour of electricity decreases due to the inverse relationship between wattage and time.

Step-by-step explanation:

The time an appliance can run on 1 kilowatt-hour (kWh) of electricity is inversely proportional to its wattage rating. This means that if the wattage increases, the time that the appliance can run on the fixed amount of energy (1 kWh) decreases.

The relationship between energy, power, and time is given by E = Pt, where E represents energy in kilowatt-hours, P is the power in kilowatts, and t is the time in hours. Therefore, as the power consumption rate (wattage) of an appliance increases, there is less time that the appliance can operate on the same amount of energy, given that energy is a product of power and time.