Problem

A common inhabitant of human intestines is the ba…

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Problem 1 Easy Difficulty

A population of protozoa develops with a constant relative growth of 0.7944 per member per day. On day zero the population consists of 2 members. Find the population size after six days.

Name: a population of protozoa develops with a constant relative growth of 07944 per member per day on day
Uploaded: 2020-05-12
Duration: 50 s
Channel: Numerade
Description: A population of protozoa develops with a constant relative growth of 0.7944 per member per day. On day zero the population consists of 2 members. Find the population size after six days.

Answer

$P(6)=2 e^{0.7944(6)} \approx 234.99$ or about 235 members.

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Video Transcript

for this problem. We're using the population growth model P equals P, not B to the K T. And the information that we're given is the value of K is 0.7944 and we know the initial population is too. So we can substitute those numbers in and find p of six. So p of six will be initial population two times e raised to the K 0.7944 times a time six. So we can substitute this whole expression into our calculator and we get approximately 235 so 235 members of the population

Heather Z.

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Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

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Section 8

Exponential Growth and Decay