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x y 0 18 1 13 2 8 The table shows three values of x and their corresponding values of y. There is a linear relationship between x and y. Which of the following equations represents this relationship? y = 18x+13
Correct answer: D (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice D is correct. A linear relationship can be represented by an equation of the = + form y mx b, where m and b are constants. It’s given in the table that when = =18 18 = + x 0, y . Substituting 0 for x and for y in y mx b yields 18= 0 + 18= 18 = + m^ h b, or b. Substituting for b in the equation y mx b yields = +18 = =13 y mx . It’s also given in the table that when x 1, y . Substituting 1 for 13 = +18 13= 1 +18 13= +18 x and for y in the equation y mx yields m^ h , or m . 18 - = Subtracting from both sides of this equation yields 5 m. Therefore, the =-5 +18 equation y x represents the relationship between x and y. 41 SAT PRACTICE TEST #9 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 2 Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors.
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