Question

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

Answer 1

The given function is as following:


`f(t) = (87000)/(1+ 1449 \ e^(-1.2t) )`
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 ⇒

`f(t) = (87000)/(1+ 1449 \ e^(-1.2*9) )`
By using the calculator
∴ f(t) = 84,502 people

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