In a learning theory project, psychologists discovered that f(t) = 0.8 / 1 + e-0.2t is a model for describing the proportion of correct responses, f(t), after t learning trials. Solve, a. Find the proportion of correct responses prior to learning trials taking place. b. Find the proportion of correct responses after 10 learning trials. c. What is the limiting size of f(t), the proportion of correct responses, as continued learning trials take place?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 39CT: The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model...
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In a learning theory project, psychologists discovered that

f(t) = 0.8 / 1 + e-0.2t is a model for describing the proportion of correct responses, f(t), after t learning trials. Solve,

a. Find the proportion of correct responses prior to learning trials taking place.

b. Find the proportion of correct responses after 10 learning trials.

c. What is the limiting size of f(t), the proportion of correct responses, as continued learning trials take place?

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