Suppose the rate at which a rumor spreads—that is, the number of people who have heard the rumor over a period of time—increases with the number of people who have heard it. If y is the number of people who have heard the rumor, then

where t is the time in days.
(a) If y is 1 when t = 0, and y is 5 when t = 2, find k. Using the value of k from part (a), find y for each time.
(b) t = 3 

(c) t = 5 

(d) t = 10

Transcribed Image Text:

dy dt || ky,