pls show complete and neat solution. help is very much appreciated! :( A bacteri

Question

pls show complete and neat solution. help is very much appreciated! :(

A bacteria polulation follows the law of exponential change. If between noon and 2:00pm the population triples, at what time would the population become 100 times what is was at noon? At 10:00AM, what was the percentage of the bacterial population in terms of the population at noon?

fo llows the "law rf cspinential chunge." If Ixmren and 20H PM the triples, at what tine wuuld the pupulatixi lwoime 100 tanus what it was at it .t ML.what wis the percentage of the Ixacterial population in retms ot the populariin ar no of

Explanation / Answer

Let the growth model be N = N0 * e^(kt)

By data, 3 N0 = N0 e^(2k)

3 = e^(2k)

2k = ln 3

k = (1/2)ln 3 = 0.5493

The model is N = N0 e^(0.5493t)

At 10 AM, t = -2

N/N0 = e^(0.5493 * -2) = 0.3333

The population was 33.33% of the population at noon.

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