One study of mortality versus age used the following model to give the probability P of death from measles if contracted at age t years. 1 P = 1 + 77.39e- -0.08t Here we assume thatt is at least 2. (a) What is the limiting value for this logistic function? Note: In other contexts, this would be known as the carrying capacity. (b) Explain in practical terms the meaning of the limiting value you found in part (a). The limiting value indicates that as age increases, the probability of death upon contracting measles at that age increases toward or %. (c) At what age does the model predict that mortality due to measles is 40%? (That is a value of 0.4 for P. Round your answer to two decimal places.) t =

One study of mortality versus age used the following model to give the probability P of death from measles if contracted at age t years. 1 P = 1 + 77.39e- -0.08t Here we assume thatt is at least 2. (a) What is the limiting value for this logistic function? Note: In other contexts, this would be known as the carrying capacity. (b) Explain in practical terms the meaning of the limiting value you found in part (a). The limiting value indicates that as age increases, the probability of death upon contracting measles at that age increases toward or %. (c) At what age does the model predict that mortality due to measles is 40%? (That is a value of 0.4 for P. Round your answer to two decimal places.) t =

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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