the relitive growth rate for a certain type of bactieria population is 85% per hour. a small culture has formed and in just 2 hours the count shows to be 12,500 bacteria in the culture what is the inital number of bacteria in the culture?

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og44 og44

10-01-2017
Mathematics

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the relitive growth rate for a certain type of bactieria population is 85% per hour. a small culture has formed and in just 2 hours the count shows to be 12,500 bacteria in the culture what is the inital number of bacteria in the culture?

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kaypaisely kaypaisely · Answer 1 · 2017-01-10T01:14:28+01:00

So, the initial number of bacteria in the culture = x
After 1 hour,

The number of bacteria = 185x/100
= 1.85x
After 2 hours,
The number of bacteria = (185 * 1.85x)/100
= 3.42x
So:
3.42x = 12500
x = 12500/3.42
= 3654.97
= 3655

From the above deduction, we can conclude that the initial number of bacteria in the culture is 3655.

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