Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter - Inverse Functions - 6.5 Exponential Growth and Decay - 6.5 Exercises - Page 471: 1

Answer

$\approx 235$ members protozoa

Work Step by Step

A population of protozoa develops with a constant relative growth rate of 0.7944 per member per day. On day zero the population consists of two members. Find the population size after six days. Let P be the population at any time (t). Let t be the measure in days. Let $k = 0.7944$. Model: $$P(t) = P(0)e^{kt}$$ At $t = 0$; $P(0) = 2$ After 6 days, $P(6) = 2e^{(0.7944)6}$ $=234.99099$ or $\approx 235$ members protozoa
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