Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 3 - Section 3.6 - Graphing Linear Inequalities in Two Variables - Exercise Set - Page 266: 48

Answer

a) $x+y \leq5000$ b) Please see the graph, made using graphing software. c) The cost of a ceremony is not negative, and the cost of a reception is not negative. For these reasons, the grid shows only quadrant I.

Work Step by Step

a) wedding ceremony is $x$ reception is $y$ max budget of 5000 dollars $x+y \leq5000$ b) To graph the inequality, we need to have the $\leq$ sign be replaced with an $=$ sign. Let $x=0$ (y-intercept) $x+y =5000$ $0+y =5000$ $y=5000$ Let $y=0$ (x-intercept) $x+y =5000$ $x+0=5000$ $x=5000$ $(0,5000)$ and $(5000,0)$ are on the line. Use $(0,0)$ to determine what side of the line to shade. $x+y \leq5000$ $0+0 \leq5000$ $0 \leq 5000$ is true, so we shade the side of the line with $(0,0)$.
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