Question

The number of people in a small city of 4000 residents who became ill with a particular virus, t weeks its initial outbreak, is described by the function

f(t)=40000/1+30e^1.2t

How many people were ill at the end of the fourth week?

Answer 1

just put t=4 in the function
\[f(t)=40000/1+30e^1.2(4)\]

Answer 2

f(t)=40000/1+30e^ 1.2(4)
f(t)=40000 +3645.31
f(t)=43645.31

Answer 3

im very confused

Answer 4

what u don't understand ?!

Answer 5

fixed
explanation
1.you have the function call f(t)=40000/1+30e^1.2t
2.f(t) means f(at t which is number of week)
3.to get the fourth week u need to put 4 inside the function like this f(4)=40000/1+30e^1.2(4)
4.calculate the numbers
f(4)=40000/1+30e^1.2(4)
f(4)=40000/1+30e^(4.8)
f(4)=40000/1+30*(121.51)
f(4)=40000/1+3645.3
f(4)=40000/3646.3
f(4)=10.9700
since it is calculate people u cant get Fraction so answer is f(4)=11

Answer 6

\[\large f(t)=\frac{40000}{1+30e^{1.2t}}\]
\[\large f(4)=\frac{40000}{1+30e^{1.2\times 4}}\] and a calculator