The function f(x) = 80 e -0.3x + 20 describes the percentage of information, f(x), that a particular person remembers x weeks after learning the information. a. Substitute 0 for x and, without using a calculator, find the percentage of information remembered at the moment it is first learned. b. Substitute 1 for x and find the percentage of information that is remembered after 1 week. c. Find the percentage of information that is remembered after 4 weeks.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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The function f(x) = 80 e -0.3x + 20 describes the percentage of information, f(x), that a particular person remembers x
weeks after learning the information.
a. Substitute 0 for x and, without using a calculator, find the percentage of information remembered at the moment it
is first learned.
b. Substitute 1 for x and find the percentage of information that is remembered after 1 week.
c. Find the percentage of information that is remembered after 4 weeks.
d. Find the percentage of information that is remembered after one year (52 weeks).
Transcribed Image Text:The function f(x) = 80 e -0.3x + 20 describes the percentage of information, f(x), that a particular person remembers x weeks after learning the information. a. Substitute 0 for x and, without using a calculator, find the percentage of information remembered at the moment it is first learned. b. Substitute 1 for x and find the percentage of information that is remembered after 1 week. c. Find the percentage of information that is remembered after 4 weeks. d. Find the percentage of information that is remembered after one year (52 weeks).
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d. After one​ year, 
  
________​% of the information is remembered.
​(Round to one decimal place as​ needed.)

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