The graph shows the relationship between the number of shares of stock from Company A, x, and the number of shares of stock from Company B, y, that Simone can purchase. Which equation could represent this relationship?

Question

Accepted Answer

Choice B is correct. The graph shown is a line passing through the points (0, 40) and (60, 0). Since the relationship between x and y is linear, if two points on the graph make a linear equation true, then the equation represents the relationship. Substituting 0 for x and 40 for y in the equation in choice B, 8x + 12y = 480, yields 8(0) + 12(40) = 480, or 480 = 480, which is true. Substituting 60 for x and 0 for y in the equation 8x + 12y = 480 yields 8(60) + 12(0) = 480, or 480 = 480, which is true. Therefore, the equation 8x + 12y = 480 represents the relationship between x and y. Choice A is incorrect. The point (0, 40) is not on the graph of this equation, since 40 = 8(0) + 12, or 40 = 12, is not true. Choice C is incorrect. The point (0, 40) is not on the graph of this equation, since 40 = 12(0) + 8, or 40 = 8, is not true. Choice D is incorrect. The point (0, 40) is not on the graph of this equation, since 12(0) + 8(40) = 480, or 320 = 480, is not true.

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