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There will be 524,288 bacteria in petri dish after 4 hours.
Given the function that modeled the number of bacteria in a petri dish, after t hours expressed as:
[tex]P(t)=8(2)^{4t}[/tex]The value of p(4) is expressed as:
[tex]\begin{gathered} P(4)=8(2)^{4(4)} \\ P(4)=8(2)^{16} \\ P(4)=8(65536) \\ P(4)=524288\text{ }bacterias \end{gathered}[/tex]Hence there will be 524,288 bacteria in petri dish after 4 hours.