. Under certain circumstances a rumor spreads according to the equation 16 p(t) NOV 20 = 1 1 + ae I where p(t) is the proportion of the population that has heard the rumor at time t and a and k are positive constants. (a) Find lim, p(t). (b) Find the rate of spread of the rumor. (c) Graph p for the case a = 10, k = 0.5 with t measured in hours. Use the graph to estimate how long it will take for 80% of the population to hear the rumor. -kt A
. Under certain circumstances a rumor spreads according to the equation 16 p(t) NOV 20 = 1 1 + ae I where p(t) is the proportion of the population that has heard the rumor at time t and a and k are positive constants. (a) Find lim, p(t). (b) Find the rate of spread of the rumor. (c) Graph p for the case a = 10, k = 0.5 with t measured in hours. Use the graph to estimate how long it will take for 80% of the population to hear the rumor. -kt A
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.8: Interpreting Graphs Of Functions
Problem 1GP
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