Answer:
<em>After 24 hours, there will be 4191 bacteria present in the culture.</em>
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Step-by-step explanation:
Initial number of bacteria = 300
amount in 10 hrs = 3 x 300 = 900
time taken = 10 hours
Bacterial growth is exponential, ans so we use the equation
N = N'
where N is the final amount
N' is the initial amount
k is the growth constant
t is the time
For this first case, we have
900 = 300 x
3 =
take natural log of both sides, we'll have
ln 3 = ln
1.0986 = 10k
k = 1.0986/10 = 0.10986
using the growth constant above, we calculate for a day which is 24 hours
N = N'
N = 300 x
N = 300 x
N = 300 x 13.97
N = <em>4191 bacteria</em>