Frank 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) 37 4.7 39 4.6 42 5.5 50 5.9 64 3.8 71 1.8 82 3.1 93 2.3 9+ 6 5- 2 10 20 30 40 50 60 70 80 90 100 1lt -14 Brightness Level a) Find the equation for the line of best fit. Keep at least 3 decimals for each parameter in the equation. b) Interpret the slope in context. OFrank should expect -0.0566 hours per brightness level. OFrank should expect -0.0566 brightness level per hour. c) What does the equation predict for the number of hours the phone will last at a brightness level of 55? hours How's

Trigonometry (MindTap Course List)
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Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
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Frank 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)
37
4.7
39
4.6
42
5.5
50
5.9
64
3.8
71
1.8
82
3.1
93
2.3
6.
8.
71
6.
5-
10 20 30 40 50 60 70 80 90 100 ll
-14
Brightness Level
a) Find the equation for the line of best fit. Keep at least 3 decimals for each parameter in the equation.
b) Interpret the slope in context.
O Frank should expect -0.0566 hours per brightness level.
O Frank should expect -0.0566 brightness level per hour.
c) What does the equation predict for the number of hours the phone will last at a brightness level of 55?
hours
Transcribed Image Text:Frank 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) 37 4.7 39 4.6 42 5.5 50 5.9 64 3.8 71 1.8 82 3.1 93 2.3 6. 8. 71 6. 5- 10 20 30 40 50 60 70 80 90 100 ll -14 Brightness Level a) Find the equation for the line of best fit. Keep at least 3 decimals for each parameter in the equation. b) Interpret the slope in context. O Frank should expect -0.0566 hours per brightness level. O Frank should expect -0.0566 brightness level per hour. c) What does the equation predict for the number of hours the phone will last at a brightness level of 55? hours
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