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Algebra / Linear functions Difficulty: Easy

The length, $y$ , of a white whale was $162 centimeters left parenthesis cm right parenthesis$ when it was born and increased an average of $4.8 cm$ per month for the first $12$ months after it was born. Which equation best represents this situation, where $x$ is the number of months after the whale was born and $y$ is the length, in $cm$ , of the whale?

$y equals 162 x$

$y = 162 x + 162$

$y = 4.8 x + 4.8$

$y = 4.8 x + 162$

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Explanation

Choice D is correct. It's given that the length of the whale was $162 cm$ when it was born and that its length increased an average of $4.8 cm$ per month for the first $12$ months after it was born. Since $x$ represents the number of months after the whale was born, the total increase in the whale's length, in $cm$ , is $4.8$ times $x$ , or $4.8 x$ . The length of the whale $y$ , in $cm$ , can be found by adding the whale's length at birth, $162 cm$ , to the total increase in length, $4.8 x cm$ . Therefore, the equation that best represents this situation is $y = 4.8 x + 162$ .

Choice A is incorrect and may result from conceptual errors.

Choice B is incorrect and may result from conceptual errors.

Choice C is incorrect and may result from conceptual errors.