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 = -w^2 + 60w, where A is the area and w is the width. Which of the following correctly identifies the x-intercept(s)? (1 point)

O (60,0) and (30,900)
O (0,0) and (60,0)
O (0,0)
O (60,0)

Answer 1

Set A = 0: 0 = -w^2 + 60w = w(-w + 60).
So w = 0 or w = 60. The x-intercepts are (0, 0) and (60, 0).