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Linear functions SAT question
Math · Algebra · Medium · Answer it here, explanation included.
The table shows four values of and their corresponding values of . There is a linear relationship between and that is defined by the equation , where is a constant. What is the value of ?
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ExplanationShow
The correct answer is . It's given that is defined by the equation , where is a constant. It's also given in the table that when , . Substituting for and for in the equation yields, . Adding to both sides of this equation yields . Dividing both sides of this equation by yields . Therefore, the value of is .
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