SOLUTION: In a city with a population of 70,000 people, the number of people P(t) exposed to a rumor in t hours is given by the function
P(t) = 70,000(1 − e^−0.0009t).(Round yo
Question 1006197: In a city with a population of 70,000 people, the number of people P(t) exposed to a rumor in t hours is given by the function
P(t) = 70,000(1 − e^−0.0009t).(Round your answers to the nearest hour.)
(a) Find the number of hours until 10% of the population have heard the rumor.
(b) Find the number of hours until 90% of the population have heard the rumor. Answer by josmiceli(19441) (Show Source):
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(a)
When is the ratio ?
Take the natural log of both sides
In 117.07 hrs, 10% have heard rumor
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Follow the same steps:
In 2558.43 hrs, 90% have heard rumor
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