Question

uppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1600 bacteria selected from this population reached the size of 1838 bacteria in four hours. Find the hourly growth rate parameter.

Answer 1

Below.

Explanation:

Exponential growth equation is

Nt = No e^kt where No is initial quantity , Nt is quantity after time t and k is some constant.

Here we have:

1838 = 1600 e^4k

e^4k = 1838/1600 = 1.14875

4k = ln 1.14875 = 0.138674

k = 0.034669