= 6w^2 The function f ( w) gives the area of a rectangle, in square feet (ft^2), if its width is w ft and its length is 6 times its width. Which of the following is the best interpretation of f ( 14) = 1,176?
Correct answer: A (parsed from the explanation — this source omits an answer key for this item)
Explanation
ft2 Choice A is correct. The function f gives the area of the rectangle, in , if its ft 14 =14 width is w . Since the value of f^ h is the value of f^wh if w , it follows that 14 =1,176 1,176 =14 f^ h means that f^wh is if w . In the given context, this means 14ft 1,176ft2 that if the width of the rectangle is , then the area of the rectangle is . Choice B is incorrect and may result from conceptual errors. Choice C is incorrect and may result from conceptual errors. Choice D is incorrect and may result from ft ft2 interpreting f^wh as the width, in , of the rectangle if its area is w , rather than ft2 ft as the area, in , of the rectangle if its width is w .
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