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Advanced Math / Nonlinear functions Difficulty: Easy

Scientists recorded data about the ocean water levels at a certain location over a period of $6$ hours. The graph shown models the data, where $y equals 0$ represents sea level. Which table gives values of $x$ and their corresponding values of $y$ based on the model?

$x$	$y$
$0$	$negative 12$
$0$	$3$
$3$	$6$

$x$	$y$
$0$	$0$
$3$	$12$
$0$	$negative 6$

$x$	$y$
$0$	$0$
$3$	$negative 12$
$6$	$0$

$x$	$y$
$0$	$0$
$12$	$3$
$negative 6$	$0$

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Explanation

Choice C is correct. Each point $(x, y)$ on the graph represents an elapsed time $x$ , in hours, and the corresponding ocean water level $y$ , in feet, at a certain location based on the model. The graph shown passes through the points $left parenthesis 0 comma 0 right parenthesis$ , $left parenthesis 3 comma negative 12 right parenthesis$ , and $left parenthesis 6 comma 0 right parenthesis$ . Thus, the table in choice C gives the values of $x$ and their corresponding values of $y$ based on the model.

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