In many epidemics, the cum ulative num ber of cases grows exponentially, at least over a limited time. A recent exam ple is the spread of the Influenza A (H1N1) virus, comm only called the swine flu, which affected Mexico and the United States especially. On April 24, 2009, there were seven cum ulative cases of swine flu in the United States reported to the World Heal th Organization. Over the next two weeks, the cum ulative num ber of cases in the United States inareased by about 40% each day. If this growth rate had continued, what would have been the cum ulative num ber of cases in the United States reported 45 days after April 24?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.4: Geometric Sequences And Series
Problem 6SC
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In many epidemics, the cum ulative num ber of cases grows exponentially, at least over a limited
time. A recent exam ple is the spread of the Influenza A (H1N1) virus, commonly called the swine flu,
which affected Mexico and the United States especially. On April 24, 2009, there were seven
cum ulative cases of swine flu in the United States reported to the World Heal th Organization. Over
the next two weeks, the cum ulative num ber of cases in the United States inareased by about 40%
each day. If this growth rate had continued, what would have been the cum ulative num ber of cases
in the United States repor ted 45 days after April 24?
Transcribed Image Text:In many epidemics, the cum ulative num ber of cases grows exponentially, at least over a limited time. A recent exam ple is the spread of the Influenza A (H1N1) virus, commonly called the swine flu, which affected Mexico and the United States especially. On April 24, 2009, there were seven cum ulative cases of swine flu in the United States reported to the World Heal th Organization. Over the next two weeks, the cum ulative num ber of cases in the United States inareased by about 40% each day. If this growth rate had continued, what would have been the cum ulative num ber of cases in the United States repor ted 45 days after April 24?
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