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) Responses 10 yards 10 yards 10 square yards 10 square yards 5 yards 5 yards 100 yards 100 yards
To find the domain when the maximum range is achieved, we need to find the vertex of the parabola represented by the equation A = -w^2 + 20w.
The equation is in the form of y = ax^2 + bx + c, where a = -1, b = 20, and c = 0.
The x-coordinate of the vertex can be found using the formula x = -b/2a.
x = -20/(2*(-1))
x = -20/-2
x = 10
So, the width of the fence that gives the maximum area is 10 yards.
Therefore, the domain when the maximum range is achieved is 10 yards.