Question

Marilee is creating a garden in her yard. She needs to put up a fence to keep the animals out of it. She has 40 yards of fencing she can erect. This situation is modeled using the equation A=−w2+20w, where A is the area of the fence and w is the width of the fence.Using the equation, what is the domain when the maximum range is achieved?(1 point)Responses100 yards100 yards10 yards10 yards10 square yards10 square yards5 yards

Answer 1

The width that gives the maximum area is w = 10 yards (vertex of A = −w^2 + 20w).
(For context: the feasible domain is 0 ≤ w ≤ 20, and the maximum area then is A = 100 square yards.)