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)

(60,0)


(0,0)
and (60,0)


(60,0)
and (30,900)


(0,0)

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).