Assume 100 snails originally have the virus and that in early stages the number of snails infected is increasing approximately exponentially, with a continuous growth rate of 0.02. Assume further that in the long run, they estimate approximately 5300 snails will be infected. The number of snails infected after t hours after infection began is modeled by a logistic function:           P=L1+Ce−kt What is the value of t when the rate at which snails are becoming infected peaks? Select the closest value.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 442RE: Jerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26....
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Assume 100 snails originally have the virus and that in early stages the number of snails infected is increasing approximately exponentially, with a continuous growth rate of 0.02. Assume further that in the long run, they estimate approximately 5300 snails will be infected. The number of snails infected after t hours after infection began is modeled by a logistic function:

          P=L1+Ce−kt

What is the value of t when the rate at which snails are becoming infected peaks? Select the closest value.

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