a. Find an equation of f. b. How many people (past and present) will have heard the rumor 10 days from now? c. How many people (past and present) will have heard the rumor 15 days from now? Has model breakdown occurred? [Hint: Assume that the population is 112 million.]
a. Find an equation of f. b. How many people (past and present) will have heard the rumor 10 days from now? c. How many people (past and present) will have heard the rumor 15 days from now? Has model breakdown occurred? [Hint: Assume that the population is 112 million.]
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 43E
Related questions
Question
![Suppose a rumor is spreading that the government plans to give each college student $1000. Asssume that 20 people have heard the rumor as of today and that each day the number of people (past and present) who have heard it triples. Let f(t) be the
number of people (past and present) who have heard the rumor at t days since today.
a. Find an equation of f.
b. How many people (past and present) will have heard the rumor 10 days from now?
c. How many people (past and present) will have heard the rumor 15 days from now? Has model breakdown occurred? [Hint: Assume that the population is 112 million.]
a. Find an equation of f.
f(t) =
¹
b. How many people (past and present) will have heard the rumor 10 days from now?
people
c. How many people (past and present) will have heard the rumor 15 days from now?
people
Has model breakdown occurred?
A. Model breakdown has occurred because the value for f(15) is greater than the population.
B. Model breakdown has not occurred because the value for f(15) is greater than the population.
O C. Model breakdown has not occurred because the value for f(15) is less than the population.
O D. Model breakdown has occurred because the value for f(15) is less than the population.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1c25a98-37d4-4c02-b656-1290cb79c629%2Fe0b8dc5e-622d-4cd9-aecb-d71b8e76e6d6%2Fq68j5b_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose a rumor is spreading that the government plans to give each college student $1000. Asssume that 20 people have heard the rumor as of today and that each day the number of people (past and present) who have heard it triples. Let f(t) be the
number of people (past and present) who have heard the rumor at t days since today.
a. Find an equation of f.
b. How many people (past and present) will have heard the rumor 10 days from now?
c. How many people (past and present) will have heard the rumor 15 days from now? Has model breakdown occurred? [Hint: Assume that the population is 112 million.]
a. Find an equation of f.
f(t) =
¹
b. How many people (past and present) will have heard the rumor 10 days from now?
people
c. How many people (past and present) will have heard the rumor 15 days from now?
people
Has model breakdown occurred?
A. Model breakdown has occurred because the value for f(15) is greater than the population.
B. Model breakdown has not occurred because the value for f(15) is greater than the population.
O C. Model breakdown has not occurred because the value for f(15) is less than the population.
O D. Model breakdown has occurred because the value for f(15) is less than the population.
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