Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-7 Exponential Growth and Decay - Practice and Problem-Solving Exercises - Page 464: 13

Answer

(a.) $15,000$. (b.) $0.04$ and $1.04$. (c.) $1.04^1$. (d.) $15,000\cdot 1.04^x$. (e.) $39988$.

Work Step by Step

(a.) The initial amount $a$ is $15,000$. (b.) Growth factor $b$ is $1+0.04=1.04$. (c.) Number of students after one year $=15,000\cdot 1.04^1$ (d.) The equation is $y=15,000\cdot 1.04^x$ (e.) Substitute $x=25$ into the equation in part (d.). $\Rightarrow y=15,000\cdot 1.04^{25} $ Simplify. $\Rightarrow y=39988 $.
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