Intermediate Algebra (6th Edition)

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

Chapter 9 - Section 9.4 - Exponential Growth and Decay functions - Exercise Set - Page 564: 19

Answer

There will be around 1 gram of isotope after 10 seconds.

Work Step by Step

This involves exponential decay of isotopes decreases every second.. RECALL: Exponential growth is represented by the formula $y=C(1-r)^x$ where C = initial/original amount r = decay rate x = number of time intervals The given situation has: C = 5 grams r = $15\%$ per second x = 10 seconds Substitute these values into the given formula above to have: $y=5(1-15\%)^{10} \\y=5(1-0.15)^{10} \\y=5(0.85^{10}) \\y \approx 1$
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