In a city, a rumour is spreading about the safety of corona vaccination. Suppose N number of people live in the city and f ( t ) is the number of people who have not yet heard about the rumour after t days. Suppose f ( t ) is given by f ( t ) = N e − k t , where k is a constant. If the population of the city is 1000 , and suppose 40 have heard the rumor after the first day. After how many days (approximately) half of the population would have heard the rumor?
In a city, a rumour is spreading about the safety of corona vaccination. Suppose N number of people live in the city and f ( t ) is the number of people who have not yet heard about the rumour after t days. Suppose f ( t ) is given by f ( t ) = N e − k t , where k is a constant. If the population of the city is 1000 , and suppose 40 have heard the rumor after the first day. After how many days (approximately) half of the population would have heard the rumor?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
In a city, a rumour is spreading about the safety of corona vaccination. Suppose
N
number of people live in the city and
f
(
t
)
is the number of people who have not yet heard about the rumour after
t
days. Suppose
f
(
t
)
is given by
f
(
t
)
=
N
e
−
k
t
, where k is a constant. If the population of the city is
1000
, and suppose
40
have heard the rumor after the first day. After how many days (approximately) half of the population would have heard the rumor?
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