The population P(t) of mosquito larvae growing in a tree hole increases according to the logistic equation with growth constant k = 0.7 day¬l and a carrying capacity of A = 300. Find a formula for the larvae population P(t), assuming an initial population of Po = 50 larvae. (Use symbolic notation and fractions where needed.) P(t) = After how many days will the larvae population reach 250? (Use decimal notation. Give your answer to two decimal places.) t = days

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...
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The population P(t) of mosquito larvae growing in a tree hole increases according to the logistic equation with growth constant
k = 0.7 day- and a carrying capacity of A = 300.
Find a formula for the larvae population P(t), assuming an initial population of Po = 50 larvae.
(Use symbolic notation and fractions where needed.)
P(t) =
After how many days will the larvae population reach 250?
(Use decimal notation. Give your answer to two decimal places.)
t =
days
Transcribed Image Text:The population P(t) of mosquito larvae growing in a tree hole increases according to the logistic equation with growth constant k = 0.7 day- and a carrying capacity of A = 300. Find a formula for the larvae population P(t), assuming an initial population of Po = 50 larvae. (Use symbolic notation and fractions where needed.) P(t) = After how many days will the larvae population reach 250? (Use decimal notation. Give your answer to two decimal places.) t = days
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