Luis is investigating how long his phone's battery lasts (in hours) for various brightness levels (on a scale of 0-100). His data is displayed in the table and graph below. Brightness Level (x) Hours (y) 31 33 43 76 81 85 91 95 4.6 3.2 5.6 2.9 3.1 3.1 2 8+ 7- 6 5- 4- 2 10 20 30 40 50 60 70 80 90 100 11 -1- Brightness Level a) Find the equation for the line of best fit. Keep at least 4 decimals for each parameter in the equation. b) Interpret the slope in context. O Luis should expect -0.0331 hours per brightness level. O Luis should expect -0.0331 brightness level per hour. c) What does the equation predict for the number of hours the phone will last at a brightness level of 43? hours SINOH

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Luis is investigating how long his phone's battery lasts (in hours) for various brightness levels (on a
scale of 0-100). His data is displayed in the table and graph below.
Brightness Level (x)
31
33
43
76
81
85
91
95
Hours (y)
4.6
3.2
5.6
2.9
3.1
3.1
2
5-
10
20
30
40
50
60
70
80
90
100
11
Brightness Level
a) Find the equation for the line of best fit. Keep at least 4 decimals for each parameter in the
equation.
b) Interpret the slope in context.
O Luis should expect -0.0331 hours per brightness level.
O Luis should expect -0.0331 brightness level per hour.
c) What does the equation predict for the number of hours the phone will last at a brightness level
of 43?
hours
Hours
Transcribed Image Text:Luis is investigating how long his phone's battery lasts (in hours) for various brightness levels (on a scale of 0-100). His data is displayed in the table and graph below. Brightness Level (x) 31 33 43 76 81 85 91 95 Hours (y) 4.6 3.2 5.6 2.9 3.1 3.1 2 5- 10 20 30 40 50 60 70 80 90 100 11 Brightness Level a) Find the equation for the line of best fit. Keep at least 4 decimals for each parameter in the equation. b) Interpret the slope in context. O Luis should expect -0.0331 hours per brightness level. O Luis should expect -0.0331 brightness level per hour. c) What does the equation predict for the number of hours the phone will last at a brightness level of 43? hours Hours
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