A gardener uses 144 feet of fencing to build a rectangular garden. The function A(w)=24w−w2 can be used to find the area of the garden for a given width, w. Does the function model the situation over the interval 12
Accepted Solution
A:
Answer:The graph of the equation is shown in the picture attached below.We can see w = 12 corresponds to the global maximum of the function, and for any w greater than 12 the value of A(w) decreases.This means that for any value of the width greater than 12, the function cannot model the situation.Making the equation only valid forw ∈ [0,12]