SAT Question 652054da: Nonlinear Equations In One Variable And Systems Of Equations In Two Variables answer and explanation with Desmos solution

Choice A is correct. It's given that $p$ represents the period of the ocean wave, so the equation $s=\frac{3}{2}p$ can be solved for $p$ to represent the period of the wave in terms of the speed of the wave. Multiplying both sides of the equation by the reciprocal of $\frac{3}{2}$ will isolate $p$. This yields $\frac{2}{3}s=\frac{2}{3}\times \frac{3}{2}p$, which simplifies to $\frac{2}{3}s=p$. Therefore, $p=\frac{2}{3}s$.