Apopulation of bacteria is growing exponentially according to the model p=100e0.60t initially, there were 100 bacteria, but after how many hours will 400 colonies be present? how much time will it take (where p is the number of colonies and t is measured in hours. ) (round to the nearest tenth).

Time it will take t = 23.1 (round to the nearest tenth)

Step-by-step explanation:

Given: A population of bacteria is growing exponentially;

According to the model;

  ......[1]; where P is the number of colonies and t be the time measured in hours.

After how many hours will 400 colonies be present.

Substitute value of P = 400 in [1];

Divide both sides by 100 we get;

Taking ln both sides we get;

Since;

then;

Divide both sides by 0.06 we get;

or

hours

Therefore, the time it will take is, t = 23.1 (round to the nearest tenth)

true

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