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Nonlinear functions SAT question
Math · Advanced Math · Hard · Answer it here, explanation included.
Square P has a side length of inches. Square Q has a perimeter that is inches greater than the perimeter of square P. The function gives the area of square Q, in square inches. Which of the following defines ?
ExplanationShow
Choice A is correct. Let represent the side length, in inches, of square P. It follows that the perimeter of square P is inches. It's given that square Q has a perimeter that is inches greater than the perimeter of square P. Thus, the perimeter of square Q is inches greater than inches, or inches. Since the perimeter of a square is times the side length of the square, each side length of Q is , or inches. Since the area of a square is calculated by multiplying the length of two sides, the area of square Q is , or square inches. It follows that function is defined by .
Choice B is incorrect. This function represents a square with side lengths inches.
Choice C is incorrect. This function represents a square with side lengths inches.
Choice D is incorrect. This function represents a square with side lengths inches.
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