The function f(x) = 90 e -0.6x + 10 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). ..... a. At the moment it is first learned, 100 % of the information is remembered. (Round to one decimal place as needed.) b. After one week, 59.4 % of the information is remembered. (Round to one decimal place as needed.) c. After four weeks, 18.2 % of the information is remembered. (Round to one decimal place as needed.) d. After one year, % of the information is remembered. (Round to one decimal place as needed.)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 2CA
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The function f(x) = 90 e -0.6x + 10 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).
.....
a. At the moment it is first learned, 100 % of the information is remembered.
(Round to one decimal place as needed.)
b. After one week, 59.4 % of the information is remembered.
(Round to one decimal place as needed.)
c. After four weeks, 18.2 % of the information is remembered.
(Round to one decimal place as needed.)
d. After one year, % of the information is remembered.
(Round to one decimal place as needed.)
Transcribed Image Text:The function f(x) = 90 e -0.6x + 10 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). ..... a. At the moment it is first learned, 100 % of the information is remembered. (Round to one decimal place as needed.) b. After one week, 59.4 % of the information is remembered. (Round to one decimal place as needed.) c. After four weeks, 18.2 % of the information is remembered. (Round to one decimal place as needed.) d. After one year, % of the information is remembered. (Round to one decimal place as needed.)
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