Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.5 - Systems of Inequalities - Exercise Set - Page 864: 81

Answer

a. $50x+150y\gt2000$ b. See graph; red region in the first quadrant. c. see explanations.
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Work Step by Step

a. Based on the given conditions, we can write the inequality as $50x+150y\gt2000$ b. See graph; the solution of the above inequality is the red region in the first quadrant. c. We can select $(30,20)$ as an example ordered pair where $50(30)+150(20)=4500\gt2000$. The coordinates show that there are 30 children and 20 adults in the elevator which is overloaded.
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