Question

please answer correctly

The logistic growth function at right describes the number of people, f), who have become ill with influenza t weeks after its initial outbreak in a particular community. 107,000 1 + 4900 a. How many people became ill with the flu when the epidemic began? b. How many people were ill by the end of the fourth week? c. What is the limiting size of the population that becomes ill? a. The number of people initially infected is (Round to the nearest number of people.) b. The number of people infected after 4 weeks is (Round to the nearest number of people.) c. The limiting size of the infected popluation is (Round to the nearest number of people)

Answer 1

Given the logistic grouth function at right describes the number of peoper, f(t) who have become il with influenza t, weeks after its initial outbreak in a particular community - f(t) = 107,000 1 +4goo et (a) we find the people become ill with the the. When the epidemic began t=0.in U) In this case We put . 10) = 107,000 107000 =22 14900 Ćº 4901 22 people became il with the flu when the epidemic begain Hence end of were il by the the PC Poll (b) Next we find the towrth week case In this we put t=4 in () We get $(4) 2 = 1179 107,000 174900 és 1179 peopee wore il by the end of the Hore fourth week. of population that C) we find the limiting size beomes in - 107,000 107,000.[:ca] lim 107,000 1 +4900 et Now 1+0 to Heance 107,000 is the limiting size of thes, the population ill. becomes that