Answer:
k = 9
Step-by-step explanation:
Let the constant of the variation be k.
[tex]\rm y = \frac{2xk}{\sqrt{z} }[/tex]
Given that y = 12 when x = 4 and z = 36
[tex]\hookrightarrow \rm 12 = \frac{2(4)(k)}{\sqrt{36} }[/tex]
[tex]\hookrightarrow \rm 12 = \frac{8k}{6}[/tex]
[tex]\hookrightarrow \rm k =\frac{12(6)}{8}[/tex]
[tex]\hookrightarrow \rm k = \frac{72}{8}[/tex]
[tex]\hookrightarrow \boxed{\rm k = 9}[/tex]
#CarryOnLearning
