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The value of y varies inversely as √x and when x=25, y=15. What is x when y=3?

 
 Jun 7, 2021
 #1
avatar+174 
+1

\(\sqrt{x}*y=k\)

\(5*15=k\)

\(k=75\)

\(\sqrt{x}=\frac{75}{3}\)

\(x=625\)

 

JP

 
 Jun 7, 2021
edited by JKP1234567890  Jun 7, 2021
 #2
avatar+32592 
+3

y = k / (sqrtx)       sub in the values to calculate the proportionality constant  'k'

15 = k/(sqrt25)

k =75

 

3 = 75/(sqrtx)

75/3 = sqrt x

625 = x

 
 Jun 7, 2021
 #3
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0

thanks!

 
 Jun 7, 2021

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