Item — sat-dog

? Math · None · None · MCQ Q22

y > 13x−18 For which of the following tables are all the values of xand their corresponding values of ysolutions to the given inequality?

A
x y 3 21 5 47 8 86
B
x y 3 26 5 42 8 86
C
x y 3 16 5 42 8 81
D
x y 3 26 5 52 8 91

Correct answer: D (parsed from the explanation — this source omits an answer key for this item)

Explanation

Choice D is correct. All the tables in the choices have the same three values of x, so each of the three values of x can be substituted in the given inequality to compare the corresponding values of y in each of the tables. Substituting 3 for >13 3 -18 >21 = x in the given inequality yields y ^ h , or y . Therefore, when x 3, 21 the corresponding value of y is greater than . Substituting 5 for x in the given >13 5 -18 >47 = inequality yields y ^ h , or y . Therefore, when x 5, the 47 corresponding value of y is greater than . Substituting 8 for x in the given >13 8 -18 >86 = inequality yields y ^ h , or y . Therefore, when x 8, the 86 = corresponding value of y is greater than . For the table in choice D, when x 3, 26 21 = the corresponding value of y is , which is greater than ; when x 5, the 52 47 = corresponding value of y is , which is greater than ; when x 8, the 91 86 corresponding value of y is , which is greater than . Therefore, the table in choice D gives values of x and their corresponding values of y that are all solutions to the given inequality. 45 SAT PRACTICE TEST #9 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 2 = Choice A is incorrect. In the table for choice A, when x 3, the corresponding 21 21 = value of y is , which is not greater than ; when x 5, the corresponding value 47 47 = of y is , which is not greater than ; when x 8, the corresponding value of y 86 86 is , which is not greater than . Choice B is incorrect. In the table for choice B, = 42 47 when x 5, the corresponding value of y is , which is not greater than ; = 86 86 when x 8, the corresponding value of y is , which is not greater than . = Choice C is incorrect. In the table for choice C, when x 3, the corresponding 16 21 = value of y is , which is not greater than ; when x 5, the corresponding value 42 47 = of y is , which is not greater than ; when x 8, the corresponding value of y 81 86 is , which is not greater than .

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