A population of bacteria is growing according to the model P = 100 e .60t , where P is the number of colonies and t is measured in hours. After how many hours will 400 colonies be present? Round to the nearest tenth. Use LaTeX: A=pe^{rt}A = p e r t Group of answer choices

About 2.3 hours

About 0.6 hours

About 4.6 hours

About 8.5 hours

The answer is 2.3

Explanation:

The model for the population of bacteria is growing by

P= 100 x e^.60t

where P is the number of colonies and t is measured in hours.

Now, we need to find after how many hours will 400 colonies be present

So, Putting value of P = 400 in the above model and obtain the value of t

-> 400 = 100 x e ^.60t

-> 4 = e^.60 t

Take the natural log of ln on both sides

--> ln 4 = ln e ^.60 t

--> ln 4 = .60t

t= ln 4 / .60

T= 2.3

if the concentration of products is decreased, the equilibrium will shift toward the products). add an inert gas (one that is not involved in the reaction) to the constant-volume reaction mixture: this will increase the total pressure of the system, but will have no effect on the equilibrium condition.

explanation:

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