College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.5 - Page 506: 59

Answer

please see details in "work step by step"

Work Step by Step

Exponential growth model: $A=A_{0}e^{kt},\quad k>0$ (where $A_{0}$ is the initial quantity, and $A$ is the quantity after time t) ----------- k defines the model (we need to find k). $A$ is a function of t, $A(t)=A_{0}e^{kt} .$ We would use the information ($A_{0}=800,000, t=3, A(3)=1,000,000)$ to set up an equation: $1,000,000=800,000^{k\cdot 3}$ which we would solve for k, (we do not do this here as the text says to skip details), after which the model will be obtained.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.