SOLUTION: The spread of a flu virus in a community of 45,000 people is given by the function
{{{f(t) = (45000)/(1+224e^(-899t))}}}
where f(t) is the number do people infected in week t.
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-> SOLUTION: The spread of a flu virus in a community of 45,000 people is given by the function
{{{f(t) = (45000)/(1+224e^(-899t))}}}
where f(t) is the number do people infected in week t.
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Question 1129948: The spread of a flu virus in a community of 45,000 people is given by the function
where f(t) is the number do people infected in week t.
a.) How many people had the flu at the outbreak of the epidemic?
b.) When will half the twin be infected?
(Remember to show all work and give exact answers) Answer by greenestamps(13198) (Show Source):
NOTE: The exponential e^(-899t) indicates an outbreak that affects all 45000 people in the community in a matter of hours or perhaps minutes, instead of weeks. I will assume for my answer that the exponential is supposed to be e^(-0.899t).
(a) At the outbreak of the epidemic, t (the number of weeks after the outbreak) is 0, so evaluate f(0):
ANSWER: 200 people had the flu at the outbreak.
(b) Half the population is 22500, so we want to find t when f(t)=22500.
which to 5 decimal places is 6.01963
ANSWER: Half the town will be infected after a little more than 6 weeks.
