A news item is spread by word of mouth to a potential audience of 10,000 people. After t days,

people will have heard the news. The graph of this function is shown in Fig. 7.

(a) Approximately how many people will have heard the news after 7 days?

(b) At approximately what rate will the news spread after 14 days?

(c) Approximately when will 7000 people have heard the news?

(d) Approximately when will the news spread at the rate of 600 people per day?

(e) When will the news spread at the greatest rate?

(f) Use equations (9) and (10) to determine the differential equation satisfied by f (t).

(g) At what rate will the news spread when half the potential audience has heard the news?

Transcribed Image Text:

f(1) = 10,000 1 + 50e 0.4