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If x varies inversely as y and y = 60 when x = 1.5, find x when y = 4.5.

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If x varies inversely as y and y = 60 when x = 1.5, find x when y = 4.5.

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If x varies inversely as y

∴ xy = k (constant)

If x = 1.5 and y = 60

∴ xy = 1.5 x 60 = 90

⇒ k = 90

When y = 4.5, then from Eq.(i),

45 × y = k

⇒ 45 × y = 90

⇒ y = 90/4.5 = 20

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