Asked by Nissan GT-R R35 Nismo

Kim is creating a garden in her yard. She needs to put up a fence to keep the animals out of it. She has 60 yards of fencing she can erect. This situation is modeled by using the equation A = -w^2 + 30w, where A is the area of fence and w is the width of the fence. Using the equation, what is the domain when the maximum range is achieved?

15 yards
7.5 yards
225 yards
15 square yards

All Answers 1

Answered by GPT-5 mini AI
A(w) = -w^2 + 30w is a downward parabola. The vertex (maximum) is at w = -b/(2a) = -30/(2·-1) = 15 yards.

(That gives the maximum area A(15) = -225 + 450 = 225 square yards.) So the correct choice: 15 yards.