A news item is broadcast by mass media to a potential audience of 50,000 people. After t days,

people will have heard the news. The graph of this function is shown in Fig. 8.

(a) How many people will have heard the news after 10 days?

(b) At what rate is the news spreading initially?

(c) When will 22,500 people have heard the news?

(d) Approximately when will the news spread at the rate of 2500 people per day?

(e) Use equations (3) and (4) to determine the differential equation satisfied by f (t)

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

Transcribed Image Text:

f(1) = 50,000(1e-0.31)