Can you help me with this Algbra problem?

The wattage rating of an appliance, W, varies jointly as the square of the current, I, and the resistance, R. If the wattage is 4.5 watts when the current is 0.3 ampere and the resistance is 50 ohms, find the wattage when the current is 0.2 ampere and the resistance is 100 ohms.

The answer is one of these:

A) 40 watts

B) 20 watts

C) 2000 watts or

D) 4 watts

THANK YOU

1 Answer

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  • 7 years ago
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    The wattage rating of an appliance, W, varies jointly as the square of the current, I, and the resistance, R.

    W = I²R

    If the wattage is 4.5 watts when the current is 0.3 ampere and the resistance is 50 ohms,

    4.5 = (0.3)²(50)

    find the wattage when the current is 0.2 ampere and the resistance is 100 ohms.

    W = (0.2)²(100)

    W = 4 watts

    Answer is D.

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