Logarithmic Behavior Example 1.8.1. The percentage of viewers that have watched a DVR'd show before a certain number of days have passed is give in the table below. Time (in days) 1 2 3 4 5 6 7 8 Viewers (in %) 46 62 76 84 91 95 98 100 (a) Why is a logarithmic model best here? Use a scatterplot to help you develop your reasons. (b) Find the model corresponding to your answer in part (a). Write the complete model. (c) Explain why the exponential model does not work.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 10P: Logistic Population growth the table and scatter plot give the population of black flies in a closed...
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Logarithmic Behavior
Example 1.8.1. The percentage of viewers that have watched a DVR'd show before a certain
number of days have passed is give in the table below.
5
1 2 3 4
Time (in days)
6 7 8
Viewers (in %) 46 62 76 84 91 95 98 100
(a) Why is a logarithmic model best here? Use a scatterplot to help you develop your reasons.
(b) Find the model corresponding to your answer in part (a). Write the complete model.
(c) Explain why the exponential model does not work.
Transcribed Image Text:Logarithmic Behavior Example 1.8.1. The percentage of viewers that have watched a DVR'd show before a certain number of days have passed is give in the table below. 5 1 2 3 4 Time (in days) 6 7 8 Viewers (in %) 46 62 76 84 91 95 98 100 (a) Why is a logarithmic model best here? Use a scatterplot to help you develop your reasons. (b) Find the model corresponding to your answer in part (a). Write the complete model. (c) Explain why the exponential model does not work.
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