University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 7 - Section 7.2 - Exponential Change and Separable Differential Equations - Exercises - Page 410: 25



Work Step by Step

Given: $y_0=100$ The exponential growth can be written as: $\dfrac{dy}{dt}=-0.6y$ Re-arrange the given equation as follows: Then, $y=y_0e^{-0.6 t}$ Now, when t = 1 hour Then $y=(100)e^{-0.6 t} \implies y=(100) e^{-0.6}$ Hence, $y \approx 54.88$gm
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.