A colony of bacteria is growing exponentially according to thefunction below, where t is in hours. What will the approximatenumber of bacteria be after 8 hours?

A colony of bacteria is growing exponentially according to thefunction below where t is in hours What will the approximatenumber of bacteria be after 8 hours class=

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ANSWER :

A. 2407

EXPLANATION :

From the problem, we have the given formula :

[tex]B(t)=4\cdot e^{0.8t}[/tex]

where B(t) is the number of bacteria after t hours.

e = Euler's number

After t = 8 hours, the number of bacteria is :

[tex]\begin{gathered} B(t)=4\cdot e^{0.8(8)} \\ \\ B(t)=2407.38\sim2407 \end{gathered}[/tex]

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