The number of bacteria in a certain culture increases from 600 to 1 800 between 6:00am and 8:00am. a) Assuming that the growth rate of the number of bacteria is proportional to the number of bacteria present, we can write % 2 kn, where the number of bacteria n is a function of time t. By integration and using the given information, find the value of k. b) Using the value of k found in item a), i. write the exponential growth equation for n[t] ; ii. then, simplify your answer to the form nft] 2 Col\