A logistic model for a population p(t), wheret is measured in years, satisfiesdp= 6.3p (1 – 0.05p),dtIf the population at time t = 0 is p(0) = 1,when will the population reach 50% of thecarrying capacity?Select one:0.87 years0.58 years2.94 years0.47 years18.55 years

Name: A logistic model for a population p(t), wheret is measured in years,
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Description: A logistic model for a population p(t), wheret is measured in years, satisfiesdp= 6.3p (1 – 0.05p),dtIf the population at time t = 0 is p(0) = 1,when will the population reach 50% of thecarrying capacity?Select one:0.87 years0.58 years2.94 years0.47

Given that, dρdt=6.3ρ1-0.05ρ

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Calculus

A logistic model for a population p(t), where t is measured in years, satisfies dp dt = 6.3p (1 – 0.05p), If the population at time t = 0 is p(0) when will the population reach 50% of the carrying capacity?

A logistic model for a population p(t), where t is measured in years, satisfies dp dt = 6.3p (1 – 0.05p), If the population at time t = 0 is p(0) when will the population reach 50% of the carrying capacity?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter7: Exponents And Exponential Functions

Section7.8: Transforming Exponential Expressions

Problem 15PFA

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