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I am responsible for creating a rectangular dance floor for my sisters wedding. I am given 24 square tiles that measure 1 meter on each side at first then I have to manage to have to make the same type of dance floor but have it be made and held together with edge piece, ultimately giving me 48 pieces (24x2=48). Doing so will help my understanding on how to create and solve rational equations and graphs and all the meaning attached to them.

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Perimeter (X)  I   Length (Y)
2    I     8
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4    I     4
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8     I    2
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16   I     1

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#1 - Y=0   X=0
#2 - Y=0   X= 0
The meaning of these asymptotes for both these graphs is the graphs (lines) will never reach of pass that value, point, or line on the graph. For these graphs this means the lines will never reach 0, it will continue to get closer and closer to it ans go towards but never touch.

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4 by 6 dance floor
3 by 8 dance floor
2 by 12 dance floor

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X    I      Y
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2     I    12
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3     I     8
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4     I     6
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6     I      4
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8     I      3
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12   I     2

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Patterns in Data and the Graph for #1 and #2

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Patterns in Data and the Graph for #1 and #2

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Both the X and Y values multiply to have a product of 24, which is the number of square tiles given for the dance floor and values repeat. Ex-  8x3=24 , 4x6=24. My graph has 2 curves in it and consists of a reflection.  The x and y values continue to get closer and closer to 0 as the graph continues.
The graph then shows the perimeter of all the different multiples of the dance floors with their sum and products resulting to all 48 pieces.

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Following my work with the different types of dance floors you can see the differentiation in both types of rational equations and graphs. the creation of the first dance floor was simple while the second one with only edge pieces made it more difficult which helped develop an understanding of the different patterns of different, more complex rational equations and graphs with each type of dance floor.

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Dance Floor Designs with edge pieces... fewest pieces and most pieces

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Dance Floor Designs with edge pieces... fewest pieces and most pieces