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Linear equations in two variables SAT question

Math · Algebra · Easy · Answer it here, explanation included.

$y = 70 x + 8$

Which table gives three values of $x$ and their corresponding values of $y$ for the given equation?

$x$	$y$
$0$	$8$
$2$	$148$
$4$	$288$

$x$	$y$
$0$	$70$
$2$	$78$
$4$	$86$

$x$	$y$
$0$	$70$
$2$	$140$
$4$	$280$

$x$	$y$
$0$	$8$
$2$	$132$
$4$	$272$

ExplanationShow

Choice A is correct. Each of the given choices gives three values of $x$ : $0$ , $2$ , and $4$ . Substituting $0$ for $x$ in the given equation yields $y = 70 (0) + 8$ , or $y = 8$ . Therefore, when $x = 0$ , the corresponding value of $y$ for the given equation is $8$ . Substituting $2$ for $x$ in the given equation yields $y = 70 (2) + 8$ , or $y = 148$ . Therefore, when $x = 2$ , the corresponding value of $y$ for the given equation is $148$ . Substituting $4$ for $x$ in the given equation yields $y = 70 (4) + 8$ , or $y = 288$ . Therefore, when $x = 4$ , the corresponding value of $y$ for the given equation is $288$ . Thus, if the three values of $x$ are $0$ , $2$ , and $4$ , then their corresponding values of $y$ are $8$ , $148$ , and $288$ , respectively, for the given equation.

Choice B is incorrect. This table gives three values of $x$ and their corresponding values of $y$ for the equation $y = 4 x + 70$ .

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

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Linear equations in two variables SAT question

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