SAT Question 1a1a95de: Linear Equations In Two Variables answer and explanation with Desmos solution

Choice A is correct. The x-intercept of the graph shown represents the situation in which the cluster contains only M-type stars. Based on the graph, the x-intercept is approximately $(158,0)$. Therefore, if there are $0$ K-type stars in the cluster, then there are approximately $158$ M-type stars in the cluster. It’s given that the total mass of the stars in this cluster is $127,882$ quettagrams. Therefore, the estimated mass of each M-type star is approximately $\frac{127,882}{158}$ quettagrams, or approximately $809.38$ quettagrams. Thus, of the given choices, $811$ is the closest to the estimated mass, in quettagrams, of each M-type star in this cluster.