3. In 1917, L.L. Thurstone, a pioneer in quantitative learning theory proposed a model of the number of successful acts per unit time, A, that a person could accomplish after , practice sessions. Suppose that the function reflecting this information is given by A(n)=- 55(n+1) n+8 a) Is A(n)increasing or decreasing over time? Does this make sense? b) What does A(n) approach as n increases? c) Sketch a graph of the function. d) How many practice sessions would it take for the person to be able to perform 20 successful acts? Answers: 3a) increasing b) 55 c) 3

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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3. In 1917, L.L. Thurstone, a pioneer in quantitative learning theory proposed a model of the number of
successful acts per unit time, A, that a person could accomplish after n, practice sessions.
55(n+1)
n+8
Suppose that the function reflecting this information is given by_4(n)=
a) Is A(n)increasing or decreasing over time? Does this make sense?
b) What does A(n) approach as n increases?
c) Sketch a graph of the function.
d) How many practice sessions would it take for the person to be able to perform 20 successful acts?
Answers:
3a) increasing
b) 55
c) 3
Transcribed Image Text:3. In 1917, L.L. Thurstone, a pioneer in quantitative learning theory proposed a model of the number of successful acts per unit time, A, that a person could accomplish after n, practice sessions. 55(n+1) n+8 Suppose that the function reflecting this information is given by_4(n)= a) Is A(n)increasing or decreasing over time? Does this make sense? b) What does A(n) approach as n increases? c) Sketch a graph of the function. d) How many practice sessions would it take for the person to be able to perform 20 successful acts? Answers: 3a) increasing b) 55 c) 3
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Step 1

A model for number of successful acts is given as,

A(n)=55n+1n+8 where n is the number of practice session.

(a) To Check: A(n) is increasing or decreasing.

(b) To Find: Value of A(n), as n increases.

(c) To Sketch: The graph of this function.

(d) To find: Number of practice sessions when successful acts are 20. 

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