Suppose that you are given the task of learning 100% of a block of knowledge. Human nature is such that we retain only a percentage P of knowledge t weeks after we have learned it. The Ebbinghaus learning model asserts that P is given by P(t)=Q+(100−Q)e−kt, where Q is the percentage that we would never forget and k is a constant that depends on the knowledge learned. Suppose that Q=35 and k=0.5. Complete parts (a) through (e) below. a) Find the percentage retained after 0 weeks, 1 week, 2 weeks, 6 weeks, and 10 weeks. Complete the table.
Suppose that you are given the task of learning 100% of a block of knowledge. Human nature is such that we retain only a percentage P of knowledge t weeks after we have learned it. The Ebbinghaus learning model asserts that P is given by P(t)=Q+(100−Q)e−kt, where Q is the percentage that we would never forget and k is a constant that depends on the knowledge learned. Suppose that Q=35 and k=0.5. Complete parts (a) through (e) below. a) Find the percentage retained after 0 weeks, 1 week, 2 weeks, 6 weeks, and 10 weeks. Complete the table.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 13PFA
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Suppose that you are given the task of learning 100% of a block of knowledge. Human nature is such that we retain only a percentage P of knowledge t weeks after we have learned it. The Ebbinghaus learning model asserts that P is given by P(t)=Q+(100−Q)e−kt, where Q is the percentage that we would never forget and k is a constant that depends on the knowledge learned. Suppose that Q=35 and k=0.5.
Complete parts (a) through (e) below.
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a) Find the percentage retained after 0 weeks, 1 week, 2 weeks, 6 weeks, and 10 weeks. Complete the table.
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