Given the equation :
[tex]N(t)=N_0\cdot e^{0.014t}[/tex][tex]N_0=300,000[/tex]We need to find the number of bacteria after 3 hours
so, t = 3 * 60 = 180 minutes
Substitute with t = 180 at the given equation
[tex]\begin{gathered} N(180)=300,000\cdot e^{0.014\cdot180}=300,000\cdot e^{2.52}=300,000\cdot12.4286 \\ N(180)=3,728,579 \end{gathered}[/tex]So, after 3 hours , the number of bacteria = 3,728,579
to the nearest thousand it will be : 3,729,000
