A bacterial culture is initially composed of 100 cells. After 1 hour, the number of bacteria is 1.5 times the initial population. a. If the rate of growth is proportional to the number of bacteria...

A bacterial culture is initially composed of 100 cells. After 1 hour, the number of bacteria is 1.5 times the initial population.

a. If the rate of growth is proportional to the number of bacteria present, determine the time necessary for the number of bacteria to triple.

b. What is the time required for a culture with 1 × 106 of the same bacteria to triple? Explain your results.

c. Under what conditions would the answers obtained in b be invalid?