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If x varies directly as y, and y=6 when x=27, find x when y=2

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3 votes

Answer:

x = 9

Explanation:

Given y varies directly as y then the equation relating them is

x = ky ← k is the constant of variation

To find k use the condition y = 6 when x = 27

27 = 6k ( divide both sides by 6 )

4.5 = k

x = 4.5y ← equation of variation

When y = 2 , then

x = 4.5 × 2 = 9

User Holger Peine
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