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The variable x varies directly as the cube of y, and y varies directly as the square root of z. If x equals 1 when z equals 4, what is the value of z when x equals 27?

 Jan 11, 2019
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Similar to other questions posted with this scenario:

 

x = k y^3      and y = k sqrt z    combined to be    x = k (sqrt z)^3     when  z = 4  x =1   means k = 1/8

 

x = 1/8 (sqrt z)^3  

27 = 1/8 (sqrt z)^3

z=36

 Jan 11, 2019

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