Question: Suppose the rate at which a rumor spreadsthat is, the number of people who have heard the rumor over a period of timeincreases with the

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 dy dt || ky,

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

(d) t = 10

dy dt || ky,

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