3.4 - The Chain Rule: Problem 15 Previous Problem Problem List Next Problem (1 point) Under certain circumstances, a rumor spreads according to the equation p(t) - kt where p(t) is the proportion of the population that knows the rumor ait time t, and a and k are positive constants. (a) Find lim p(t). 1 7 0o (b) Find the rate of speed of the rumor. (c) How long will it take for 80% of the population to hear the rumor? Here, take a = 10, k: = 0.5 with t measured in hours. (a) limit = ake (-kt) (b) p' (t ) = (1 + ae ke ) 2 (c) 7.8 hours Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 13 times. Your overall recorded score is 67%. You have unlimited attempts remaining. O