Let:
• t, be the time that the colony has spent growing (in days)
,• f(t) ,the number of bacteria after ,t, days
The function that describes the situation is:
[tex]f(t)=40\cdot3^{\frac{t}{4}}[/tex]For t = 20,
[tex]\begin{gathered} f(20)=40\cdot3^{\frac{20}{4}} \\ \Rightarrow f(20)=40\cdot3^5 \\ \Rightarrow f(20)=9720 \end{gathered}[/tex]You would have 9720 bacteria.
