Answer
$0\lt x\lt100$
Work Step by Step
We know that $x+2y=100$, thus $y=50-0.5x$.
The area is $x\cdot y=x(50-0.5x)=-0.5x^2+50x$.
The domain of $x$ is $x\gt0$ and $50-0.5x\gt0\\50\gt0.5x\\100\gt x$.
Thus $0\lt x\lt100$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 3 - P.S. Problem Solving - Page 308: 11a
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