SAT Question 5e63b9cf: Nonlinear Functions answer and explanation with Desmos solution

Choice B is correct. The y-intercept of a graph is the point at which the graph intersects the y-axis. The graph shown intersects the y-axis at the point $(0,8)$. Therefore, the y-intercept of the graph is $(0,8)$. It's given that $y$ is the height of the marble above the ground, in inches, and $x$ is the number of seconds after the marble started moving. It follows that the marble's height was $8$ inches above the ground $0$ seconds after it started moving. Therefore, the best interpretation of the y-intercept of the graph is that the marble's height was $8$ inches above the ground when it started moving.