Respuesta :
Answer:
757
Step-by-step explanation:
We use the model: [tex]P(t) = P_0\cdot 2^{t/d}[/tex]
From the given information
- Initial Population of the bacteria culture, [tex]P_0[/tex] =450
- Doubling Time, d=4 hours
On substitution of these into the model, we have:
[tex]P(t) = 450\cdot 2^{t/4}[/tex]
We want to determine the population of the bacteria culture, P(t) after 3 hours.
When t=3
[tex]P(3) = 450\cdot 2^{3/4}\\=756.8\\\approx 757$ bacteria (to the nearest whole number)[/tex]
Therefore, the bacteria culture contains approximately 757 bacteria after 3 hours.
