One person in small town with a population of 500 people has been infected with greyscale, a deadly and infectious disease. Scientists predict that the rate of infection of the population is proportional to the number of infected people as well as the number of people still free of the disease. Which of the following differential equations best describes the scenario? Let G represent the number of people infected. dG dt eG(500–G) dG dt kG 500-G dG dt = kG (500 – G) dG dt = k- 500G²
One person in small town with a population of 500 people has been infected with greyscale, a deadly and infectious disease. Scientists predict that the rate of infection of the population is proportional to the number of infected people as well as the number of people still free of the disease. Which of the following differential equations best describes the scenario? Let G represent the number of people infected. dG dt eG(500–G) dG dt kG 500-G dG dt = kG (500 – G) dG dt = k- 500G²
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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Transcribed Image Text:One person in small town with a population of 500 people
has been infected with greyscale, a deadly and infectious
disease. Scientists predict that the rate of infection of the
population is proportional to the number of infected people
as well as the number of people still free of the disease.
Which of the following differential equations best describes
the scenario? Let G represent the number of people infected.
dG
dt
eG(500–G)
dG
dt
kG
500-G
= kG (500 – G)
dt
dG
dt
= k- 500G²
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