Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-5 Standard Form - Practice and Problem-Solving Exercises - Page 326: 38


Possible combinations are: 8 t-shirts and 0 sweatshirts 0 t-shirts and 10 sweatshirts 5 t-shirts and 4 sweatshirts

Work Step by Step

You are given 12x+15y=120 where x represents t-shirts and y represents sweatshirts. Plug in x=0 to find y and vice-versa: x=0 12x+15y=120 12(0)+15y=120 15y=120 y=8 When there are 0 shirts there are 8 sweatshirts y=0 12x+15y=120 12x+15(0)=120 12x=120 x=10 When there are 0 sweatshirts there are 10 shirts. When you graph, you see there is a point (5,4) meaning when there are 5 shirts there are 4 sweatshirts.
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