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Question

x ∝ 1y and when x = 40 then y = 16. If x = 10, find y.

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Solution


It given that x1y.

x=ky, where k is constant of variation

x×y=k

When x = 40, y = 16.

k=40×16=40×4=160

So, the equation of variation is xy=160.

When x = 10,

10y=160y=16y=162=256

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