SOLUTION: Find the variation constant and an equation of variation if y varies directly as x and the following conditions apply. y=90 when x=1/9

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Question 1190728: Find the variation constant and an equation of variation if y varies directly as x and the following conditions apply.
y=90 when x=1/9

Found 2 solutions by math_tutor2020, josgarithmetic:
Answer by math_tutor2020(3816)   (Show Source): You can put this solution on YOUR website!

y varies directly as x means
y = kx
for some fixed constant k

y = 90 when x = 1/9
Use that to find k
y = kx
90 = k(1/9)
90*9 = k
810 = k
k = 810

The variation constant is 810
The equation is y = 810x

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
-------------------------
y varies directly as x
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k, variation constant



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the following conditions apply.
y=90 when x=1/9
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