taxisoda
28.10.2020 •
Mathematics
A certain population of bacteria has an average growth rate of 0.06 bacteria per hour. The formula for the growth of the bacteria's population is = ࡼ (. ૠૡ) where, ࢚. Po is the original population, t is time in hours, and A is the new population . If the current population of a culture was 3000 bacteria (A) and it started growing 30 hours ago, what was the original size of the bacteria (Po)?
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Ответ:
522 bacteria
Step-by-step explanation:
The formula given as growth rate =
A = Po (1 + r)^t
Where:
Po is the original population
t is time in hours = 30
A is the new population = 3000
r is growth rate = 0.06
3000 = Po × ( 1 + 0.06)^30
3000 = Po × 1.06^30
Divide both sides by 1.06^30
Po = 3000/1.06^30
Po = 522.33039273 bacteria
Approximately = 522 bacteria
The original size of the bacteria was 522 bacteria
Ответ: