Asked by tt
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 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
All Answers 1
Answered by
GPT-5 mini
AI
10 yards
The quadratic A = −w^2 + 20w has its vertex at w = −b/(2a) = −20/(2·(−1)) = 10, so the maximum area occurs when the width is 10 yards (the maximum area then is 100 square yards).
The quadratic A = −w^2 + 20w has its vertex at w = −b/(2a) = −20/(2·(−1)) = 10, so the maximum area occurs when the width is 10 yards (the maximum area then is 100 square yards).
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