One study of mortality versus age used the following model to give the probability P of death from measles if contracted at age : years. 1+ 77.39e Here we assume that t is at least 2. (a) what is the limiting value for this logistic function? Note: In other contexts, this would be known as the carying 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 tovard or (e) 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 ansver to two decimal places.)

One study of mortality versus age used the following model to give the probability P of death from measles if contracted at age : years. 1+ 77.39e Here we assume that t is at least 2. (a) what is the limiting value for this logistic function? Note: In other contexts, this would be known as the carying 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 tovard or (e) 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 ansver to two decimal places.)

Name: 2 sc One study of mortality versus age used the following model to giv
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: 2 sc One study of mortality versus age used the following model to give the probability Pof death from measles if contracted at age t years.P =1+ 77.39e 0.OBrHere we assume that t is at least 2.(a) What is the limiting value for this logistic functio

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...

See similar textbooks

Similar questions

Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
What is the carrying capacity for a population modeled by the logistic equation P(t)=250,0001+499e0.45t ? initial population for the model?
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
To the nearest whole number, what is the initial value of a population modeled by the logistic equation P(t)=1751+6.995e0.68t ? What is the carrying capacity?
Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time moved on. Table 4 shows the number of games sold, in thousands, from the years 20002010. a. Let x represent time in years starting with x=1 for the year 2000. Let y represent the number of games sold in thousands. Use logarithmic regression to fit a model to these data. b. If games continue to sell at this rate, how many games will sell in 2015? Round to the nearest thousand.
What is the y -intercept of the logistic growth model y=c1+aerx ? Show the steps for calculation. What does this point tell us about the population?
What is the y -intercept on the graph of the logistic model given in the previous exercise?
The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012, therewere 23,900 fox counted in the area. What is the foxpopulation predicted to be in the year 2020 ?
Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such that the initial population at time t=0 is P(0)=P0. Show algebraically that cP(t)P(t)=cP0P0ebt .