Answer
$y=2e^{0.1014x}$
Work Step by Step
$y=ae^{bx}$
When $x=0$, $y=2$:
$2=ae^{b(0)}$
$2=ae^0$
$a=2$
$y=2e^{bx}$
When $x=4$, $y=3$:
$3=2e^{b(4)}$
$1.5=e^{4b}$
$4b=\ln1.5$
$b=\frac{\ln1.5}{4}\approx0.1014$
$y=2e^{0.1014x}$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 5 - Review Exercises - Page 414: 111
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