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 identifies the x-intercept(s)?(1 point)
Responses

(60,0)

left parenthesis 60 comma 0 right parenthesis

(0,0)

left parenthesis 0 comma 0 right parenthesis

(30,900)
and (60,0)

left parenthesis 30 comma 900 right parenthesis and left parenthesis 60 comma 0 right parenthesis

(0,0)
and (60,0)

Answer 1

Set A = 0:
0 = −w^2 + 60w = w(−w + 60), so w = 0 or w = 60.
Thus the x-intercepts are (0, 0) and (60, 0).