THE SITUATION "Oh no! My phone is almost dead. I have 30 minutes to charge it. I wonder how much of a charge I can get before I have to leave..." THE DATA Start (0 minutes) 1% ‒‒‒‒‒ 1. What type of variation do you think exists between the time spent charging and battery percentage? THE EXPERIMENT When your phone, tablet, or other chargeable device has close to 0% battery left, close out all apps and do not use the device during this data collection. Plug it in and set a timer for every 5 minutes up to 30 minutes. Every 5 minutes, write down what % battery it is at. 5 mins 10 mins 15 mins 4_% 9__% 16 %. 20 mins 3. Open a graphing site such as Desmos OR make a graph by hand. Plot your data points on a graph. THE BIG PICTURE 25 mins. 30 mins 21 % 27 %. 34 % ‒‒‒‒‒ ‒‒‒‒. 4. Plot the equation you found in number 2 on the same graph as your data points Compare it to the

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

Look at the data in the image. ONLY answer question 1.

THE SITUATION
"Oh no! My phone is almost
dead. I have 30 minutes to
charge it. I wonder how much
of a charge I can get before I
have to leave..."
THE
DATA
Start
(0 minutes)
1 %
1. What type of
variation do you
think exists
between the
time spent
charging and
battery
percentage?
2. Take the %
charge at 10
minutes and write
an equation for the
variation (use the
data to find "k").
Use P for battery
percentage and M
for minutes.
THE EXPERIMENT
When your phone, tablet, or other chargeable device
has close to 0% battery left, close out all apps and do
not use the device during this data collection. Plug it
in and set a timer for every 5 minutes up to 30
minutes. Every 5 minutes, write down what % battery
it is at.
5 mins 10 mins 15 mins
4_%
9_%
20 mins 25 mins. 30 mins
16 %. 21 % 27% 34 %
THE BIG PICTURE
3. Open a graphing site
such as Desmos OR make
a graph by hand. Plot your
data points on a graph.
Check the slope from point
to point. Do you appear to
have a line? Explain.
Include an image of your
graphed points.
4. Plot the equation you
found in number 2 on the
same graph as your data
points. Compare it to the
points. Is your equation a
good fit for the data?
Explain your choice and
include an image.
Transcribed Image Text:THE SITUATION "Oh no! My phone is almost dead. I have 30 minutes to charge it. I wonder how much of a charge I can get before I have to leave..." THE DATA Start (0 minutes) 1 % 1. What type of variation do you think exists between the time spent charging and battery percentage? 2. Take the % charge at 10 minutes and write an equation for the variation (use the data to find "k"). Use P for battery percentage and M for minutes. THE EXPERIMENT When your phone, tablet, or other chargeable device has close to 0% battery left, close out all apps and do not use the device during this data collection. Plug it in and set a timer for every 5 minutes up to 30 minutes. Every 5 minutes, write down what % battery it is at. 5 mins 10 mins 15 mins 4_% 9_% 20 mins 25 mins. 30 mins 16 %. 21 % 27% 34 % THE BIG PICTURE 3. Open a graphing site such as Desmos OR make a graph by hand. Plot your data points on a graph. Check the slope from point to point. Do you appear to have a line? Explain. Include an image of your graphed points. 4. Plot the equation you found in number 2 on the same graph as your data points. Compare it to the points. Is your equation a good fit for the data? Explain your choice and include an image.
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