SAT Question db888cd6: Nonlinear Functions answer and explanation with Desmos solution

Choice D is correct. The y-intercept of the graph is the point at which the graph crosses the y-axis, or the point for which the value of $x$ is $0$. Therefore, the y-intercept of the given graph is the point $\left(0,9\right)$. It's given that $x$ represents the number of years since the end of $1992$. Therefore, $x=0$ represents $0$ years since the end of $1992$, which is the same as the end of $1992$. It's also given that $y$ represents the estimated number of catalogs, in thousands, that the company sent to its customers at the end of the year. Therefore, $y=9$ represents $9,000$ catalogs. It follows that the y-intercept $\left(0,9\right)$ means that the estimated number of catalogs the company sent to its customers at the end of $1992$ was $9,000$.