Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.5 - Exponential Growth and Decay; Modeling Data - Exercise Set - Page 508: 63

Answer

See explanations.

Work Step by Step

Step 1. Write the exponential model as $P(t)=P_0e^{kt}$ where $P_0=800,000$ is the initial population at $t=0$ and $k$ is a constant. Step 2. Year 2013 gives $t=2013-2010=3$; we have $P(3)=1,000,000$ and $P(3)=P_0e^{3k}$ which sets up the equation for the unknown constant $k$. Step 3. Solve the above equation to get the value of $k$ and write the model equation $P(t)=P_0e^{kt}$ with known numbers of $P_0$ and $k$.
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