The function f w = 6 w 2 gives the area of a rectangle, in   square   feet  

Question

The function f w = 6 w 2 gives the area of a rectangle, in &#160; square &#160; feet &#160; ft 2 , if its width is w &#160; ft and its length is 6 times its width. Which of the following is the best interpretation of f 14 = 1,176 ?

Accepted Answer

Choice A is correct. The function f gives the area of the rectangle, in ft 2 , if its width is w ft . Since the value of f 14 is the value of f w if w = 14 , it follows that f 14 = 1,176 means that f w is 1,176 if w = 14 . In the given context, this means that if the width of the rectangle is 14 ft , then the area of the rectangle is 1,176 ft 2 . 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 interpreting f w as the width, in ft , of the rectangle if its area is w ft 2 , rather than as the area, in ft 2 , of the rectangle if its width is w ft .

Question 969792