The relative growth rate for a certain type of bacteria population is 85% per hour. A small culture has formed and in just 2 hou rs the count shows to be 12,500 bacteria in the culture. What is the initial number of bacteria in the culture? PLS USE THE FORMULA P(t) = Pe^rt
2 answers:
Let us assume the initial number of bacteria in the culture = xAfter 1 hour,The number of bacteria = 185x/100 = 1.85xAfter 2 hours,The number of bacteria = (185 * 1.85x)/100 = 3.42xSo3.42x = 12500x = 12500/3.42 = 3654.97 = 3655From the above deduction, we can conclude that the initial number of bacteria in the culture is 3655.
Let us assume 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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