Answer
It is an example of combined variation.
Work Step by Step
Variation formulas define the relation between two quantities such that if one quantity varies, we know how the other is affected.
The equation provided is: $z=\frac{k\sqrt{x}}{{{y}^{2}}}$.
The above equation is a case of combined variation. In combined variation, both types of direct and inverse variations occur at the same time. In this equation, as soon as the value of x increases, the value of z will also increase but as soon as value of y increases, the value of z will decrease. We also have k, which is a constant of variation that controls the degree/strength of the variation.