Question

Nora is creating a dog run in her backyard for her dog, Max. She has enough materials to create a run with a perimeter of 120 feet. This is represented by the function A=−w2+60w, where A is the area of the run and w is the width.Which of the following best analyzes the meaning of the x-intercept?(1 point)ResponsesThe dog run must have a width between 0 and 30 feet.The dog run must have a width between 0 and 30 feet.The dog run must have a width between 0 and 120 feet.The dog run must have a width between 0 and 120 feet.The dog run must have a width between 0 and 60 feet.The dog run must have a width between 0 and 60 feet.The dog run must have a width between 0 and 900 feet.The dog run must have a width between 0 and 900 feet.Skip to navigation

Answer 1

The x-intercepts are w = 0 and w = 60 (solve -w^2 + 60w = 0). They represent widths that give zero area (width 0 or length 0), so feasible widths that produce positive area must be between 0 and 60 feet. Thus: "The dog run must have a width between 0 and 60 feet."