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y 9 ",i i\ /V ~ ' / ll / ' 6 V / ' 5 X V 4 / 3 V 2 / 1 V u X -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 The graph of a system of an absolute value function and a linear function is shown. What is the solution (x,y) to this system of two equations? (0,8)
Correct answer: C (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice C is correct. The solution to a system of two equations corresponds to the point where the graphs of the equations intersect. The graphs of the linear function and the absolute value function shown intersect at a point with an - - x-coordinate between 4 and 3 and a y-coordinate between 4 and 5. Of the - 7,9 - - given choices, only b 2 2 l has an x-coordinate between 4 and 3 and a y-coordinate between 4 and 5. Choice A is incorrect. This is the y-intercept of the graph of the linear function. Choice B is incorrect and may result from conceptual or calculation errors. Choice D is incorrect. This is the vertex of the graph of the absolute value function. 33 SAT PRACTICE TEST #7 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1
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