Given:
The growth of a sample of bacteria can be modeled by the function
[tex]b(t)=1001.06t[/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)=1001.06t[/tex]
where, b is the number of bacteria and t is time in hours.
Substituting t=3, we get the number of total bacteria after 3 hours.
[tex]b(3)=1001.06(3)[/tex]
[tex]b(3)=3003.18[/tex]
Number of bacteria cannot be decimal value. So, approximate the value to the nearest whole number.
[tex]b(3)\approx 3003[/tex]
Therefore, the number of total bacteria after 3 hours is about 3003.
