Answer:
a). N = 2
b). N = 16
c). t = 624 minutes
Step-by-step explanation:
Exponential model that shows the rumor spread through a group is
Where N = Number of teenagers who have heard the rumors
t = Duration after the rumor first started
(a). At the time t = 0
N = 2
Therefore, 2 teenagers started the rumor.
(b). At t = 5 hours
N =
N = 15.96
N ≈ 16
16 teenagers heard the rumors after 5 hours.
(c). If N = 150
150 =
75 =
log(75) = 0.7t(log1.81)
1.87506 = 0.7t(0.25767)
t =
t = 10.395 hours
t ≈ 624 minutes
Therefore, after 624 minutes or rumor will be heard by 150 teenagers.