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Suppose y varies directly with x where y = 21 when x = 7. Find x when y=72.

User Yungchin
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1 Answer

3 votes

Answer:

x = 24

Explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 21 when x = 7, so

21 = 7k ( divide both sides by 7 )

3 = k

y = 3x ← equation of variation

When y = 72, then

72 = 3x ( divide both sides by 3 )

x = 24

User Joe Trellick
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