Question

A specific bacteria is given a favorable growth medium, the bacteria has a growth rate of 30.5% every hour. In the beginning there are 100 bacteria, how many bacteria will there be in 36 hours? Round your answer to the nearest tenth.

a. 1550236.7 bacteria
b. 1452039.5 bacteria
c. 152.3 bacteria
d. 149.1 bacteria

Answer 1

36hrs is 36/6.5=5.538 doubling periods. Initial population x0=100

Explanation:

The rate of exponential growth of a bacterial culture is expressed as generation time, also the doubling time of the bacterial population. Generation time (G) is defined as the time (t) per generation (n = number of generations). Hence, G=t/n is the equation from which calculations of generation time (below) derive.