## Algebra 1

Published by Prentice Hall

# Chapter 5 - Linear Functions - 5-5 Standard Form - Practice and Problem-Solving Exercises - Page 326: 65

#### Answer

a) $200x+150y = 1000$ b) See the graph. Three possible prices--1 for students and 5.33 for adults, 2 for students and 4 for adults, 3 for students and 2.67 for adults #### Work Step by Step

a) 200 students will attend (x), 150 adults will attend (y), amount to raise is 1000 $200x+150y = 1000$ b) Let $x = 1$ $200x+150y = 1000$ $200+150y = 1000$ $200+150y-200 = 1000-200$ $150y = 800$ $150y/150 = 800/150$ $y = 5.33$ Let $x = 2$ $200x+150y = 1000$ $200*2+150y = 1000$ $400 +150y = 1000$ $400 +150y-400 = 1000-400$ $150y = 600$ $150y/150 = 600/150$ $y = 4$ Let $x = 3$ $200x+150y = 1000$ $200*3+150y = 1000$ $600+150y = 1000$ $600+150y-600 = 1000-600$ $150y = 400$ $150y/150 = 400/150$ $y = 2.67$

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