Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 6 - Exponential Functions and Sequences - 6.4 - Exponential Growth and Decay - Exercises - Page 319: 28

Answer

$y=900(0.91)^t$.

Work Step by Step

Initial value $a=\$900$ Rate of decay $r=9\%=0.09$ The exponential decay function is $\Rightarrow y=a(1-r)^t$ Substitute $900$ for $a$ and $0.09$ for $r$. $\Rightarrow y=900(1-0.09)^t$ Simplify. $\Rightarrow y=900(0.91)^t$.
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