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Nonlinear functions SAT question
Math · Advanced Math · Medium · Answer it here, explanation included.
A rectangle has a length that is times its width. The function represents this situation, where is the area, in square feet, of the rectangle and . Which of the following is the best interpretation of in this context?
ExplanationShow
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.
Choice B is incorrect. This is the best interpretation of , not , in the given function.
Choice C is incorrect and may result from conceptual errors.
Choice D is incorrect. This is the best interpretation of , not , in the given function.
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