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Answer:
The initial number of bacteria in the culture was 1949
Step-by-step explanation:
The relative growth rate for a certain type of bacteria population is 78% per hour.
As we know the growth of bacteria is exponential function.
where,
P is population of bacteria after n hours.
P₀ is initial population.
r is rate of growth per hour
n is number of hours
A small culture has formed and in just 5 hours the count shows to be 34,820 bacteria in the culture.
P = 34820 , n = 5 , r = 0.78
Hence, The initial number of bacteria in the culture was 1949
According to the question ;
Now, let's add a constant of proportionality to replace proportionality sign with equal to :
[ where, k is proportionality constant ]
plug the value of x and y from any ordered pair in the table , for example :
Therefore, value of proportionality constant (k) is