19 A certain open star cluster contains M-type stars and K-type stars. The estimated total mass of M-type and K-type stars in this open star cluster is 127,882quettagrams. The graph shown models the possible combinations of the number of M-type stars, x, and K-type stars, y, that could be in this open star cluster if all the M-type stars have the same estimated mass and all the K-type stars have the same estimated mass. Based on the graph, which of the following is closest to the estimated mass, in quettagrams, of each M-type star in this cluster?
Correct answer: A (parsed from the explanation — this source omits an answer key for this item)
Explanation
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 158,0 x-intercept is approximately ^ h. Therefore, if there are 0 K-type stars in the 158 cluster, then there are approximately M-type stars in the cluster. It’s given 127,882 that the total mass of the stars in this cluster is quettagrams. Therefore, 127,882 the estimated mass of each M-type star is approximately 158 quettagrams, or 809.38 811 approximately quettagrams. Thus, of the given choices, is the closest to the estimated mass, in quettagrams, of each M-type star in this cluster. Choice B is incorrect. This is the value closest to the estimated mass, in quettagrams, of each K-type star, not each M-type star, in this cluster. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.
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