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Y varies directly as x and y=21 when x=6. determine the value of y when x=14

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2 votes

Answer:

y = 49

Explanation:

Given y varies directly as 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 = 6 , then

21 = 6k ( divide both sides by 6 )

3.5 = k

y = 3.5x ← equation of variation

When x = 14 , then

y = 3.5 × 14 = 49

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