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The value of y varies inversely as sqrt(x) and when x=2, y=4. What is x when y=16?

 Jun 16, 2021
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y = k / sqrt(x)

4 = k / (sqrt 2)           k, the proprtionality constant = 4 sqrt 2

 

16 = 4 sqrt 2    / sqrt x

 

4 sqrt 2 / 16 = sqrt x

16 * 2  / 256  = x

x = 1/8

 Jun 17, 2021

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