Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Review - Page 597: 45

Answer

8 players

Work Step by Step

Exponential decay can be modeled by the function $y=C(1-r)^{x}$ (where C is the initial amount present, r is the decay rate, and x is the number of time intervals measured). In this case, we are wanting to measure the amount of players left after 7 rounds, so $x=7$. We are given that the decay rate is .5 and there are 1024 players originally present. $y=1024(1-.5)^{7}=1024(.008)=8$ players
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