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The logistic growth function f(t) = 870001+1449e−1.2t f ( t ) = 87000/ 1 + 1449 e^ - 1 . 2 t models the number of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community. How many people were ill after 9 weeks? A. 88,450 people B. 84,502 people C. 540 people D. 87,000

Respuesta :

Matheng
The given function is as following:

[tex]f(t) = \frac{87000}{1+ 1449 \ e^{-1.2t} } [/tex]
which represents the number of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community.
To find : How many people were ill after 9 weeks?

We need to substitute with t = 9 at the function f(t)

So,

at t = 9 ⇒
[tex]f(t) = \frac{87000}{1+ 1449 \ e^{-1.2*9} } [/tex]
By using the calculator 
∴ f(t) = 84,502 people

So, the correct answer is option B. 84,502 people

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