SOLUTION: f(w)=-w^2+400w Above is a function f that expresses the area of the field (measured in square feet) as a function of the width of the side of the field w (measured in feet).

Algebra ->  Functions -> SOLUTION: f(w)=-w^2+400w Above is a function f that expresses the area of the field (measured in square feet) as a function of the width of the side of the field w (measured in feet).       Log On


   

Question 995903: f(w)=-w^2+400w

Above is a function f that expresses the area of the field (measured in square feet) as a function of the width of the side of the field w (measured in feet).

Use your graphing calculator to graph the function above. Based on your graph, what is the maximum area of the enclosed field?
Thank you.
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
f(w)=-w^2+400w
this ia a parabola that opens downward, here is its graph
+graph%28+700%2C+600%2C+-40%2C+400%2C+-10000%2C+40000%2C+-x%5E2%2B400x%29+
from the graph, we see that the max area is 40,000 square feet