Question #d8539e09 - SAT Suite Question Bank

Modded SAT Question Bank by Abdullah Mallik

$y less than 6 x plus 2$

For which of the following tables are all the values of $x$ and their corresponding values of $y$ solutions to the given inequality?

$x$ $y$

$3$ $20$

$5$ $32$

$7$ $44$
$x$ $y$

$3$ $16$

$5$ $36$

$7$ $40$
$x$ $y$

$3$ $16$

$5$ $28$

$7$ $40$
$x$ $y$

$3$ $24$

$5$ $36$

$7$ $48$

$x$	$y$
$3$	$20$
$5$	$32$
$7$	$44$

$x$	$y$
$3$	$16$
$5$	$36$
$7$	$40$

$x$	$y$
$3$	$16$
$5$	$28$
$7$	$40$

$x$	$y$
$3$	$24$
$5$	$36$
$7$	$48$

Toggle Answer

Tip: Press CTRL/Command to toggle answer

Correct Answer: C

Rationale

Choice C 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 $x$ in the given inequality yields $y less than 6 left parenthesis 3 right parenthesis plus 2$ , or $y less than 20$ . Therefore, when $x equals 3$ , the corresponding value of $y$ is less than $20$ . Substituting $5$ for $x$ in the given inequality yields $y less than 6 left parenthesis 5 right parenthesis plus 2$ , or $y less than 32$ . Therefore, when $x equals 5$ , the corresponding value of $y$ is less than $32$ . Substituting $7$ for $x$ in the given inequality yields $y less than 6 left parenthesis 7 right parenthesis plus 2$ , or $y less than 44$ . Therefore, when $x equals 7$ , the corresponding value of $y$ is less than $44$ . For the table in choice C, when $x equals 3$ , the corresponding value of $y$ is $16$ , which is less than $20$ ; when $x equals 5$ , the corresponding value of $y$ is $28$ , which is less than $32$ ; when $x equals 7$ , the corresponding value of $y$ is $40$ , which is less than $44$ . Therefore, the table in choice C gives values of $x$ and their corresponding values of $y$ that are all solutions to the given inequality.

Choice A is incorrect. In the table for choice A, when $x equals 3$ , the corresponding value of $y$ is $20$ , which is not less than $20$ ; when $x equals 5$ , the corresponding value of $y$ is $32$ , which is not less than $32$ ; when $x equals 7$ , the corresponding value of $y$ is $44$ , which is not less than $44$ .

Choice B is incorrect. In the table for choice B, when $x equals 5$ , the corresponding value of $y$ is $36$ , which is not less than $32$ .

Choice D is incorrect. In the table for choice D, when $x equals 3$ , the corresponding value of $y$ is $24$ , which is not less than $20$ ; when $x equals 5$ , the corresponding value of $y$ is $36$ , which is not less than $32$ ; when $x equals 7$ , the corresponding value of $y$ is $48$ , which is not less than $44$ .

Question Difficulty: