- - y 50 40 \. i::Q g ~ 30 \ 0.. s \ o 20 u \ \ 10 I\ '~ u 10 20 30 40 50 6) 70 80 90 100^X Company A 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?
Correct answer: B (parsed from the explanation — this source omits an answer key for this item)
Explanation
0,40 Choice B is correct. The graph shown is a line passing through the points ^ h 60,0 and ^ h. 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 40 relationship. Substituting 0 for x and for y in the equation in choice B, 43 SAT PRACTICE TEST #10 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 2 8 +12 =480 8 0 +12 40 =480 480=480 x y , yields ^ h ^ h , or , which is true. 60 8 +12 =480 Substituting for x and 0 for y in the equation x y yields 8 60 +12 0 =480 480=480 ^ h ^ h , or , which is true. Therefore, the equation 8 +12 =480 x y represents the relationship between x and y. 0,40 Choice A is incorrect. The point ^ h is not on the graph of this equation, since 40=8 0 +12 40=12 0,40 ^ h , or , is not true. Choice C is incorrect. The point ^ h is 40=12 0 +8 40=8 not on the graph of this equation, since ^ h , or , is not true. 0,40 Choice D is incorrect. The point ^ h is not on the graph of this equation, since 12 0 +8 40 =480 320=480 ^ h ^ h , or , is not true.
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