Answered: The average typing speed S (in words…

The average typing speed S (in words per minute) of a typing student after t weeks of lessons is shown in the table. t5 10 15 20 25 20 39 55 | 78 89 94 96 A model for the data is S- 100:2 65 + 2 O

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.CR: Chapter Review

Problem 17E: The population of the United States is approximately 300,000,000 people. Find the population in 50...

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Question

The average typing speed S (in words per minute) of a typing student aftert weeks of lessons is shown in the table.
t 5 10
15
20
25
30
39 55 78 89
94
96
A model for the data is
100:2
S =
65 + 2
0 <t< 30.
(a) Use a graphing utility to plot the data and graph the model.
80
100-
60
80
60
40
40
20
20
5
10
15
20
25
30
10
15
20
25
30
100-
80
80
60
60
40
40
20
20
5
10
15
20
25
30
10
15
20
25
30
(b) Use the second derivative to determine the concavity of S. Compare the result with the graph in part (a). (Enter your answers using interval notation. Round your answers to two decimal places.)
concave upwards
concave downwards

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