Answer
$\text{B}$
Work Step by Step
Recall:
An inverse variation between $x$ and $y$ is represented by an equation of the form $xy=k$ where $k$ is the constant of variation.
Option A:
Multiplying $z$ to both sides of the equation gives $xz=y$.
Thus, this equation does not represent an inverse variation between $x$ and $y$.
Option B
Multiplying $y$ to both sides of the equation gives $xy=-15z$.
Thus, this equation represents an inverse variation between $x$ and $y$.
Option C
Multiplying $x$ to both sides of the equation gives $xz=-15y$.
Thus, this equation does not represent an inverse variation between $x$ and $y$.
Option D
The equation $xz=5y$ does not represent an inverse variation between $x$ and $y$.
Therefore, the answer is Option B.
