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Find the size of a bacterial population after 80 minutes Find the size of a bacterial population after 6 hours.

Find the size of a bacterial population after 80 minutes Find the size of a bacterial-example-1
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Notice that the size of the population of bacteria can be model as an exponential function, meaning:


\begin{gathered} P=P_0(1+r)^t \\ wereP_0\text{ is the initial population, r is the rate of change and t is the number of times} \\ \text{that the rate is applied.} \end{gathered}

Substituting P₀=1500, r=1, and t=80/30 we get:


P=1500(1+1)^{(80)/(30)}=9524

Therefore after 80 minutes, the population of bacterias will be 9524.

For the second question, substituting P₀=1500, r=1, and t=12 we get:


\begin{gathered} P=1500(1+1)^(12)=6144000 \\ \text{Therefore after 6 hours, the population of bacterias will be 6144000} \end{gathered}
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