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=−w^2+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)
Responses
The dog run must have a width between 0 and 900 feet.
The dog run must have a width between 0 and 900 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 30 feet.
The dog run must have a width between 0 and 60 feet.
The x-intercept of the function represents the width at which the area of the dog run would be 0. In this case, the x-intercept is at 0 and 60. This means that the width of the dog run should be between 0 and 60 feet in order for the area to be positive.