v = - w 150 x The given equation relates the distinct positive numbers v ,

Choice A is correct. It’s given that $x$ is positive. Therefore, multiplying each side of the given equation by $-150x$ yields $-150xv=w$, which is equivalent to $w=-150vx$. Thus, the equation $w=-150vx$ correctly expresses $w$ in terms of $v$ and $x$.

Choice B is incorrect. This equation is equivalent to $v=-\frac{wx}{150}$.

Choice C is incorrect. This equation is equivalent to $v=-\frac{x}{150w}$.

Choice D is incorrect. This equation is equivalent to $v=w-150x$.