Given:
The growth of a sample of bacteria can be modeled by the function
[tex]b(t)=100(1.06)^t[/tex]
where, b is the number of bacteria and t is time in hours.
To find:
The number of total bacteria after 3 hours.
Solution:
We have,
[tex]b(t)=100(1.06)^t[/tex]
Here, b(t) number of total bacteria after t hours.
Substitute t=3 in the given function, to find the number of total bacteria after 3 hours.
[tex]b(t)=100(1.06)^3[/tex]
[tex]b(t)=100(1.191016)[/tex]
[tex]b(t)=119.1016 [/tex]
Therefore, the number of total bacteria after 3 hours is 119.1016.
