Answer
$18$ years
Work Step by Step
Use the exponential decay model with the equation $m(t)=m_0\cdot 2^{-t/h}$
with the given numbers $h=28,m_0=50, m(t)=32$, we have $32=50\times2^{-t/28}$,
thus $t=-28log_2(32/50)\approx18$ years
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 4 - Section 4.6 - Modeling with Exponential Functions - 4.6 Exercises - Page 380: 19
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