Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 5 - Chapter Test - Page 415: 27



Work Step by Step

$y=ae^{bx}$ When $x=0$, $y=2745$: $2745=ae^{b(0)}$ $2745=ae^0$ $a=2745$ $y=2745e^{bx}$ When $x=9$, $y=11,277$: $11,277=2745e^{b(9)}$ $\frac{11,277}{2745}=e^{9b}$ $9b=\ln\frac{11,277}{2745}$ $b=\frac{\ln\frac{11,277}{2745}}{9}\approx0.1570$ $y=2745e^{0.1570x}$
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