Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.1 - Exponential Functions - Exercise Set - Page 449: 66

Answer

$ f(80)=157.49$ kg. This is unsafe.

Work Step by Step

In the year 2066, $x$ will be $80$. $ f(80)=1000(0.5)^{80/30}\approx 157.49$ Which is more than the amount considered to be safe (100 kg). Thus, Chernobyl will not be safe by 2066. There will be $157.49$ kg of cesium-137 remaining in Chernobyl's atmosphere.
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