The length of the rectangle, in feet
The area of the rectangle, in square feet
The difference between the length and the width of the rectangle, in feet
The width of the rectangle, in feet
Explanation
Correct answer: A.
Choice A is correct. It's given that a rectangle has a length that is times its width. It's also given that the function represents this situation, where is the area, in square feet, of the rectangle and . The area of a rectangle can be calculated by multiplying the rectangle's length by its width. Since the rectangle has a length that is times its width, it follows that represents the width of the rectangle, in feet, and represents the length of the rectangle, in feet. Therefore, the best interpretation of in this context is that it's the length of the rectangle, in feet.
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect. This is the best interpretation of , not , in the given function.
Choice C
Choice C is incorrect and may result from conceptual errors.
Choice D
Choice D is incorrect. This is the best interpretation of , not , in the given function.