Problema Solution
Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of
1700
bacteria selected from this population reached the size of
1938
bacteria in three hours. Find the hourly growth rate parameter.
Answer provided by our tutors
We base exponential growth on this equation:
T=b(1+r)^t
where 'T' represents total, 'b' represents base (beginning amount), 'r' represents rate and 't' represents time
1938=1700(1+r)^3
r=0.0446
The hourly growth rate is approximately 4.5%.