The line slants down from left to right. The line passes through the following points: (0 comma 40) (60 comma

Question

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?

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, 8 x + 12 y = 480 , yields 8 0 + 12 40 = 480 , or 480 = 480 , which is true. Substituting 60 for x and 0 for y in the equation 8 x + 12 y = 480 yields 8 60 + 12 0 = 480 , or 480 = 480 , which is true. Therefore, the equation 8 x + 12 y = 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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