7/30/2019 Final Math Project
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The ProcessFor my yearlong project I tried to
reduce my family’s monthly
electricity usage. I created a plan
with my family to try and reduce
the usage. Once I had identied my
home’s most used electric
appliances that is when I started to
take action with the help of my
family.
The most used appliances are the
air conditioners. We have 11 air-
cons as we have a 4-bedroom
house. The apartment has 3 oors
and is quite spacious but we don't
use all 11 at the same time. Though
at rst they weren’t always put at a
low temperature. Since we have a
big house with large windows, light
switches weren’t a big problem. Wedidn’t use them during the day and
always remembered to turn them
off when they weren’t in use. Next
are the kitchen devices such as the
dishwasher, washing and drying
machines and the iron. Our house
doesn’t use a lot of these but when
we do, it has a big impact on our
KwH usage. Therefore, thinking of
ways to reduce their usage wascritical to the project plan. As for
the other electronic devices, we
had to make sure they were left
unplugged or uncharged when not
in use.
I am proud to say that my electricity usage from August hasdecreased in March by 465 KwH.There were a few bumps in themiddle though. For example, in themonths of December and January,
we had guests over so there were 6people in my house using electricity. Also, in the middle of my plan I had forgotten to remindmy family about the plan so theamount did not decrease. I nally thought of putting up sticky notesnear the air-con and lightswitches. This way it was easy toremind my family to turn them off
when not in use, and to keep the
temperature of the AC’s at 22degrees or more. February is themonth I put reminders into actionso by looking at the results table, ithas a lower KwH amount thaneven March. My lowest amount isin November when I had actually made it my priority to tell my parents about the plan and they had to follow it. The bottom line is,my family still has to work harderto try and reduce our usageamount. We still need to improveeven more as we have thetendency to forget to look after ourelectricity usage.
THE KHANS REDUCE ELECTRICITYCONSUMPTION IN THE FLIP OF A
SWITCH
ISSUE NO.1
WRITTEN BY: MINAHIL KHAN, PERIOD 1DATE PUBLISHED: MAY 7TH, 2013
EARTH DAILY
MONTHLY KWH USAGE
Here is a scatter plot showing the data I collected of my family’s electricity usage in KwH
Looking at the Results
7/30/2019 Final Math Project
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In order to predict how many months it will take my family touse only 300 KwH, I would have tond the equation of the tted lineon my data graph. I will rst have
to nd the slope of this line inorder to create the equation. Tond the slope I will need 2 sets of coordinate pairs of the data. Any pair can work but I am going to
choose (6,2603) and (0, 3438).Now that I have these 2 coordinatepairs, I can solve to get the slope of the line.
Slope= 3438-2603 = 835
0-6 -6
Now I have the slope that isrounded to -139.2. It is a negativeslope because the line is going
downhill.
Now I have the slope (m) of the
line so I can t it into the equation: y=mx +b
Then, I can put in an ordered pair
for the x and y values so I can ndthe y-intercept of the equation (b).
y= -835x + b
6Then I can substitute the values
with the data values.
For example, I can use the orderedpair (0, 3438). I just need to solve
for b since that isthe missing part of the equation.
3438= -835(0) + b
6
3438 = 0 + b
3438 = b
Now I have all thecomponents tocreate the equationfor this line.
y= -835x + 3438
6
y= -139.2x + 3438*Rounded decimal
Now that I have the equation I cannd out how many months it willtake my family to cut down to 330KwH. I just need to substitute y. Y represents the KwH so I can
substitute it with 300 and leave x inthe equation because it representsthe number of months.
y= -139.2x +3438
300 = -139.2x + 3438
300 - 3438 = -139.2x + 3438
-3438
-3138 = -139.2x
-139.2 -139.2
22.5 = x
This means it would take about22 and a half months until my family would reach 300 KwH.Meaning it would take almost 2
years to decrease to that much,so I think my family has room toimprove. I do believe my family can work on this more and speedup the process if we try harder.
FAMILY’S MONTHLY KWH USAGE
Here are a few appliances used in my house. Think of ways to conserve
this electricity by not using all of it unnecessarily. Look on the let for sometips I used in my electricity usage conservation plan!
-Minahil Khan, Grade 8
Months KwH
August 3438
September 3487
October 2863
November 2218
December 3579
January 3328
February 2603
March 2973
How Many Months Will
It Take for the Khan
Family to use 300 KwH?
Remember to....