SOLUTION: Y varies directly as the square root of X, and Y=8 when X=9. Find Y when X=49

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Question 182879: Y varies directly as the square root of X, and Y=8 when X=9. Find Y when X=49
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
y varies directly with sqrt x then equation takes the form of:
:
y%2Fsqrt%28x%29=kwhere k is the constant of variation
:
for y=8 and x=9
:
8%2Fsqrt%289%29=k
:
k=8%2F3 so the constant of variation is 8/3
:
no for x =49 what is y
:
y%2Fsqrt%2849%29=8%2F3
:
y=%288%2F3%29%2A7..multiplied both sides by sqrt%2849%29 which is 7
:
y=56%2F3