Luca is building a garden in his backyard. He needs to erect a fence to keep his dog Luna from digging in it. He has enough materials for a fence with 120 feet around the perimeter. This function is represented by the formula A=−w2+60w, where A is the area and w is the width. Which of the following correctly identifies the x-intercept(s)?(1 point)

Question

Luca is building a garden in his backyard. He needs to erect a fence to keep his dog Luna from digging in it. He has enough materials for a fence with 120 feet around the perimeter. This function is represented by the formula A=−w2+60w, where A is the area and w is the width. Which of the following correctly identifies the x-intercept(s)?(1 point)
Responses

(60,0) and (30,900)
left parenthesis 60 comma 0 right parenthesis  and  left parenthesis 30 comma 900 right parenthesis

(0,0)
left parenthesis 0 comma 0 right parenthesis

(0,0) and (60,0)
left parenthesis 0 comma 0 right parenthesis  and  left parenthesis 60 comma 0 right parenthesis

(60,0)

GPT 3.5 · Answer

left parenthesis 60 comma 0 right parenthesis