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Linear functions SAT question

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

The given function represents the perimeter, in , of a rectangle with a length of and a fixed width. What is the width, in , of the rectangle?

ExplanationShow

Choice B is correct. It's given that represents the perimeter, in , of a rectangle with a length of   and a fixed width. If represents a fixed width, in , then the perimeter, in , of a rectangle with a length of and a fixed width of can be given by the function . Therefore, . Subtracting from both sides of this equation yields . Dividing both sides of this equation by yields . Therefore, the width, in , of the rectangle is .

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.

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