Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-7 Exponential Growth and Decay - Practice and Problem-Solving Exercises - Page 459: 25


Initial Amount: 100 Decay Factor: $\frac{2}{3}$

Work Step by Step

To find the initial amount, plug 0 in for x: g(x) = 100($\frac{2}{3}$)$^{x}$ g(0) = 100($\frac{2}{3}$)$^{0}$ g(0) = 100(1) g(0) = 100 $\frac{2}{3}$ is the decay factor because this is the value that is attached to the "x" exponent. In other words, this is the value that will determine by how much x decays.
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