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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-example-1

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7 votes

ANSWER :

A. 2407

EXPLANATION :

From the problem, we have the given formula :


B(t)=4\cdot e^(0.8t)

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

e = Euler's number

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


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

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