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The logistic growth function f(t)=67000/1+1339.0e^-0.11t models the numbers of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community. How many people become ill with this infection when the epidemic began?
A) 67,000 people
B) 1340 people
C) 50 people
 Mar 20, 2014
 #1
avatar+142 
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amber6198:

:? The logistic growth function f(t)=67000/1+1339.0e^-0.11t models the numbers of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community. How many people become ill with this infection when the epidemic began?
A) 67,000 people
B) 1340 people
C) 50 people




You only need to replace "t" by "0" in your equation, because "t" it's for the time.

So at the time "0" you'll have 67 000 peoples infected.
 Mar 20, 2014
 #2
avatar+33615 
0
samgelinas:
amber6198:

:? The logistic growth function f(t)=67000/1+1339.0e^-0.11t models the numbers of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community. How many people become ill with this infection when the epidemic began?
A) 67,000 people
B) 1340 people
C) 50 people




You only need to replace "t" by "0" in your equation, because "t" it's for the time.

So at the time "0" you'll have 67 000 peoples infected.



Right principle, but wrong answer because the function is written incorrectly! The function should be f(t)=67000/(1+1339e -0.11t).
So, when t = 0, we have f(0) = 67000/(1+1339) or
67000/1340
 Mar 20, 2014

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