SAT Question 04b985e6: Nonlinear Functions answer and explanation with Desmos solution

Choice A is correct. It's given that the kinetic energy, in joules, of an object with a mass of $9$ kilograms traveling at a speed of $v$ meters per second is given by the function $K$, where $K\left(v\right)=\frac{9}{2}{v}^2$. It follows that in the equation $K\left(34\right)=5,202$, $34$ is the value of $v$, or the speed of the object, in meters per second, and $5,202$ is the kinetic energy, in joules, of the object at that speed. Therefore, the best interpretation of $K\left(34\right)=5,202$ in this context is the object traveling at $34$ meters per second has a kinetic energy of $5,202$ joules.