A colony of Salmonella bacteria
has a current population of 1000
organisms. If this particular strain has
a doubling time, d, of 18 minutes,
calculate the future population after
180 minutes.
1000er^18
1e+54
It doubles ten times
t x
0 1000
18 2000 one time
36 4000 2 times
54 8000 3 times
72 16000 4 times or 1000*2^4
90
108
......
180 1024*1000 = 1,024,000 = 1000*2^10
You might want the equation:
number = 1000 (2^(t/18) )
so when t = 180
number = 1000 (2^10) = 1000(2^10) , the same result that Damon got
1024000?
To calculate the future population of a colony of Salmonella bacteria, we can use the formula for exponential growth, which is:
N = N0 * (1 + r)^t
Where:
N is the future population
N0 is the initial population
r is the growth rate per unit of time (expressed as a decimal)
t is the time period
In this case, the initial population is 1000 organisms, and the doubling time is 18 minutes. So, the growth rate per minute can be calculated as follows:
r = 1 / d = 1 / 18 = 0.0556
Now, let's calculate the future population after 180 minutes:
N = 1000 * (1 + 0.0556)^180
Using a scientific calculator or a tool like Excel, we can compute this value:
N ≈ 1e+54
Therefore, the future population of the Salmonella bacteria colony after 180 minutes would be approximately 1e+54 organisms.