y 47. Using the points (3, 84) and (12, 104) 108 write the equation of a linear model for the 104- data. Round decimals to the third decimal 100- place if necessary. 96 -92 -88 84 80 A) y = 2.5x + 76.5 B) y = 2.5x + 91.5 C) y = 2.222x + 86.222 D) y = 2.222x + 77.333 ● 2 ● ● 3 4 5 6 7 8 9 10 11 12 X
y 47. Using the points (3, 84) and (12, 104) 108 write the equation of a linear model for the 104- data. Round decimals to the third decimal 100- place if necessary. 96 -92 -88 84 80 A) y = 2.5x + 76.5 B) y = 2.5x + 91.5 C) y = 2.222x + 86.222 D) y = 2.222x + 77.333 ● 2 ● ● 3 4 5 6 7 8 9 10 11 12 X
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
47,48,49,50
Transcribed Image Text:Over the past year Jack recorded the number of hours he worked each month. The table
below records the data with the first month being January (1) going through the calendar to
the last month of December (12).
Month (x)
Hours (y)
1
2
3
80 78 84 85
A) y = 2.5x + 76.5
B) y = 2.5x + 91.5
C) y = 2.222x + 86.222
D) y = 2.222x + 77.333
4
5
College Readiness Mathematics B
85
47. Using the points (3, 84) and (12, 104) 108
write the equation of a linear model for the 104-
data. Round decimals to the third decimal
100-
place if necessary.
96
92
88
84
80-
6
100
7
Week 15
8
105 90
2 3 4
5
9 10 11 12
90
94
6 7 8
100 110
48. Using the equation in the previous problem, what does the model predict the number of
hours Jack will work the next January (let x = 13)? Round your answer to the nearest tenth.
A) 106.2
B) 115.1
C) 116.8
D) 109
E) 124
9 10 11 12
Page 27 of 28
X
College F
Transcribed Image Text:49. Using the same model, what does the model predict will be the number of hours Jack will
work next July (think about what you should let x equal)? Round your answer to the nearest
tenth.
A) 117.3
B) 119.6
C) 124
D) 128.4
E) 121.5
50. If the best-fitting line (using computer software) is approximately f(x) = 2.248x + 77.136,
then what does this model predict the number of hours Jack will work next January (let x = 13)?
Round your answer to the nearest tenth.
A) 104.2
B) 106.4
C) 108.1
D) 108.6
E) 110.2
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