A traffic accident was witnessed by 10% of the residents of a small town, and 25% of the residents had heard about the accident 2 hours later. Suppose the number N(t) of residents who had heard about the accident t hours after it occurred is given by a function of the form where B is the population of the town and C and k are constants.

a. Use this information to find C and k.

b. How long does it take for half the residents of the town to know about the accident?

c. When is the news about the accident spreading most rapidly?

Transcribed Image Text:

N(t) = B 1 + Ce - kt