For certain decisions, the time it takes to respond is a logarithmic function of the number of choices faced.+ One model is given by the following formula where R is the reaction time in seconds and N is the number of choices. R = 0.17 + 0.44 log N (a) Draw a graph of R versus N. Include values of N from 1 to 10 choices. 1.5 1.5 R 0.5 0.5 2 6 10 4 6. 8 10 1.5 1.5 R R 0.5 0.5 2. 4 10 10 (b) Using functional notation, express the reaction time if there are eight choices. R( Calculate the reaction time if there are eight choices. (Round your answer to two decimal places.) |sec (c) If the reaction time is to be at most 0.3 second, how many choices can there be? (Round your answer to the nearest whole number.) choices

For certain decisions, the time it takes to respond is a logarithmic function of the number of choices faced.+ One model is given by the following formula where R is the reaction time in seconds and N is the number of choices. R = 0.17 + 0.44 log N (a) Draw a graph of R versus N. Include values of N from 1 to 10 choices. 1.5 1.5 R 0.5 0.5 2 6 10 4 6. 8 10 1.5 1.5 R R 0.5 0.5 2. 4 10 10 (b) Using functional notation, express the reaction time if there are eight choices. R( Calculate the reaction time if there are eight choices. (Round your answer to two decimal places.) |sec (c) If the reaction time is to be at most 0.3 second, how many choices can there be? (Round your answer to the nearest whole number.) choices

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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For certain decisions, the time it takes to respond is a logarithmic function of the number of choices faced.t One model is given by the following formula where R is the reaction time in seconds and N is the number of choices.
R = 0.17 + 0.44 log N
(a) Draw a graph of R versus N. Include values of N from 1 to 10o choices.
1.5
1.5
R
0.5
0.5
4
10
4
N
1.5-
1.5
R
R 1
0.5
0.5
8
10
8
10
N
(b) Using functional notation, express the reaction time if there are eight choices.
R(
Calculate the reaction time if there are eight choices. (Round your answer to two decimal places.)
sec
(c) If the reaction time is to be at most 0.3 second, how many choices can there be? (Round your answer to the nearest whole number.)
choices
(d) If the number of choices increases by a factor of 10, what is the difference in the reaction time? (Round your answer to two decimal places.)
sec
(e) Explain in practical terms what the concavity of the graph means.
The graph is increasing and concave down. Thus as the number of choices --Select---
, then reaction time
-Select---
but less and less with each additional choice.

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