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# The value of $y$ varies inversely as $\sqrt x$ and when $x=24$, $y=15$. What is $x$ when $y=3$?

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The value of $y$ varies inversely as $\sqrt x$ and when $x=24$, $y=15$. What is $x$ when $y=3$?

Jan 23, 2021

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y = k/ (sqrtx)       k = proportionality constant

15 = k/sqrt(24)

15 sqrt24  = k

Now when y = 3

3 = 15 sqrt(24)/x

x = 15 sqrt (24)  / 3  = 5 sqrt 24 = 10 sqrt 6

Jan 23, 2021