Question 101788
y varies directly as x. 

So, y = kx
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 Find y when x=54 if y=1/4 when x=3/2
1/4 = k(3/2)
Multiply both sides by 4 to get:
1 = 6k
k = 1/6
So the general equation is y = (1/6)x
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Now fid y if x = 54
y = (1/6)*54
y = 9
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Cheers,
Stan H.