The function below represents the number of people who have a rumor 1' hours after it has started. 600 Nt = . 0 1 +599e'0-4' (You may wish to sketch a graph of N (t) to help you understand this situation and answer the questions below.) (a) What is N (0)? 1 EEE Consider what significance this has. (b) How many people will have heard the rumor after 2 hours? 322 ::: After 8 hours? (6) When will half the people have heard the rumor? t = 555 (d) When is the rumor spreading fastest? t = 555