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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?

 Mar 19, 2020
 #1
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+2

We have  that

 

y  =  k / √x

 

So

 

15  =  k / √24

 

So

 

k =  15√24

 

And when y  = 3  we have that

 

3   =   15√24 / √x          divde both sides  by  15√24

 

   3                 1

_____  =      ____       cross-multiply

15√24           √x

 

 

 

3√x  =  15√24      divide both sides  by 3

 

√x =  5√24          square  both sides

 

x = 25*24  =  600

 

 

 

cool cool cool

 Mar 19, 2020

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