6. Consider the spreeading of COVID19 on an isolated South African village with population size 12 000. A portion of the population travels to nearest city for work and shopping and returns to the village infected with the disease. You would like to predict the number of the people I who will have been infected by some time t (days). Consider the following model IP 0.05/(12000-1) I(0) = 10. (a) Solve the model for I as a function of t. (b) Determine the time T3 needed for one-third of the population to be infected.

6. Consider the spreeading of COVID19 on an isolated South African village with population size 12 000. A portion of the population travels to nearest city for work and shopping and returns to the village infected with the disease. You would like to predict the number of the people I who will have been infected by some time t (days). Consider the following model IP 0.05/(12000-1) I(0) = 10. (a) Solve the model for I as a function of t. (b) Determine the time T3 needed for one-third of the population to be infected.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 9T

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Applied maths form

6. Consider the spreading of COVID19 on an isolated South African village with population size
12 000. A portion of the population travels to nearest city for work and shopping and returns
to the village infected with the disease. You would like to predict the number of the people
I who will have been infected by some time t (days). Consider the following model
IP
-0.051(12000 – I)
I(0) = 10.
dt
(a) Solve the model for I as a function of t.
(b) Determine the time T3 needed for one-third of the population to be infected.

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