Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - Put it All Together - Page 403: Task 3A

Answer

The possible options (as ordered pairs, where x is the number of 15 foot floats and y is the number of 30 foot floats) are as follows: (0,4), (0,5), (1,3), (1,4), (2,3), (3,2), (3,3), (4,2), (5,1), (6,0), and (6,1)

Work Step by Step

x = # 15 foot floats, y = # 30 foot floats $150\leq15x+30y+10*(x+y)\leq 200$ $150\leq15x+30y+10x+10y\leq 200$ $150 \leq 25x+40y$ $25x+40y \leq200$ $x\geq 0$ $y\geq 0$ These inequalities were solved by graphing. Please see the graph. Blue line: $150\le25x+40y$ Green line: $25x+40y<200$
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