Algebra 1

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

Chapter 3 - Solving Inequalities - 3-7 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises: 63

Answer

t = 4.444 seconds or t = 17.77 seconds

Work Step by Step

$abs (200 - 18t) = d$ We want a distance of 120 feet (and also -120 feet, as my friend would still be deemed 120 feet away from me). $200 - 18t = 120$ $200 - 18t - 120 + 18t = 120 - 120 + 18t$ $80 = 18t $ $80/18 = 18t/18$ $4.444 = t $ $200 - 18t = -120$ $200 - 18t +120 +18t = -120 +120 + 18t$ $320 = 18t$ $320/18 = 18t/18$ $17.77 = t $
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