UlessUF Wei observed that students have difficulty rememl in his lectures. He modelled the percentage of information retained, R, by ti where i is the number of days after the lecture. He found that I day after a lecture, students had forgotten 5 (a) Find the value of p. Use this model to find the percentage of information re after Professor Wei's lecture. (b) Based on his model, Professor Wei believes that his student information from his lecture. (c) State a mathematical reason why Professor Wei might

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter4: Linear Functions
Section4.2: Modeling With Linear Functions
Problem 25SE: For the following exercises, consider this scenario: The number of people afflicted with the common...
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Professor Wei observed that students have difficulty remembering the information presented
in his lectures.
He modelled the percentage of information retained, R, by the function R(t) =
where i is the number of days after the lecture.
100e, 120,
He found that I day after a lecture, students had forgotten 50% of the information presented.
(a) Find the value of p.
(b) Use this model to find the percentage of information retained by his students 36 hours
after Professor Wei's lecture.
Based on his model, Professor Wei believes that his students will always retain some
information from his lecture.
(c)
State a mathematical reason why Professor Wei might believe this.
(d) Write down one possible limitation of the domain of the model.
Transcribed Image Text:Professor Wei observed that students have difficulty remembering the information presented in his lectures. He modelled the percentage of information retained, R, by the function R(t) = where i is the number of days after the lecture. 100e, 120, He found that I day after a lecture, students had forgotten 50% of the information presented. (a) Find the value of p. (b) Use this model to find the percentage of information retained by his students 36 hours after Professor Wei's lecture. Based on his model, Professor Wei believes that his students will always retain some information from his lecture. (c) State a mathematical reason why Professor Wei might believe this. (d) Write down one possible limitation of the domain of the model.
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