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Algebra / Linear functions Difficulty: Medium

$f (x) = 2 x + 244$

The given function $f$ represents the perimeter, in $centimeters (cm)$ , of a rectangle with a length of $x cm$ and a fixed width. What is the width, in $cm$ , of the rectangle?

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Explanation

Choice B is correct. It's given that $f (x) = 2 x + 244$ represents the perimeter, in $centimeters (cm)$ , of a rectangle with a length of $x$ $cm$ and a fixed width. If $w$ represents a fixed width, in $cm$ , then the perimeter, in $cm$ , of a rectangle with a length of $x$ $cm$ and a fixed width of $w$ $cm$ can be given by the function $f (x) = 2 x + 2 w$ . Therefore, $2 x + 2 w = 2 x + 244$ . Subtracting $2 x$ from both sides of this equation yields $2 w equals 244$ . Dividing both sides of this equation by $2$ yields $w equals 122$ . Therefore, the width, in $cm$ , of the rectangle is $122$ .

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

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

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