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Day 10 Proportional Relationship.notebook       November 21, 2012


        AIM: Proportional Relationships Day 2


                                    Do Now
            Evaluate the following using the order
            of operations.

                                                      2
          (­5.14 ­ (­12.2)) ­ (8 ­ 12)




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Day 10 Proportional Relationship.notebook   November 21, 2012




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Day 10 Proportional Relationship.notebook                                         November 21, 2012




          1.)  Most showerheads that were manufactured before 
          1994 use 5 gallons of water per minute.  Based on the 
          table below, is the relationship between the number of 
          gallons of water and the number of minutes a 
          proportional relationship?  Explain your answer.
         Time 
                    1                 2           3            7             10
         (min)
         Water 
                    5                 10          15           35            50
         Used (gal)




                          y
                    50

                    45

                    40

                    35

                    30

                    25

                    20

                    15

                    10

                     5
                                                                         x
                      0       1   2       3   4   5    6   7   8    9   10




                                                                                                      3
Day 10 Proportional Relationship.notebook         November 21, 2012




          2.)  What is the constant of proportionality?


          3.)  If another showerhead uses less water per 
          minute, how would its graph compare to the 
          one you plotted?




                                                                      4
Day 10 Proportional Relationship.notebook                                            November 21, 2012




                               y
                          50

                          45

                          40

                          35

                          30

                          25

                          20

                          15

                          10

                          5
                                                                                 x

                           0       1   2       3   4   5   6     7   8   9   10




         Low flow showerheads can reduce water consumption by 50 
         to 70 percent.  Graph the table below that contains data for a 
         low flow showerhead.

        Time (min)   1                     2               3                 7       10


        Water Used 
                    1.5                    3               4.5               10.5    15
        (gal)




                                                                                                         5
Day 10 Proportional Relationship.notebook   November 21, 2012




                                                                6
Day 10 Proportional Relationship.notebook   November 21, 2012




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Day 10 Proportional Relationship.notebook                    November 21, 2012




        Example:  The Jakobshavn Isbrae glacier in Greenland 
        moves an average of 25 meters a day.  Create a table and 
        a graph using this rate.  Is the relationship between the 
        movement and the days proportional?  If so, what is the 
        constant of proportionality?
         Time 
         (days)
         Distance 
         (meters)

                           y
                     250
                     240
                     230
                     220
                     210
                     200
                     190
                     180
                     170
                     160
                     150
                     140
                     130
                     120
                     110
                     100
                      90
                      80
                      70
                      60
                      50
                      40
                      30
                      20
                      10                                 x
                       0       1      2     3   4    5




                                                                                 8
Day 10 Proportional Relationship.notebook                                     November 21, 2012




                      http://www.nasa.gov/topics/earth/features/thick­melt.html




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Day 10 Proportional Relationship.notebook                                  November 21, 2012




         SMART Document Camera

                                 Before You Leave
       Create a graph that shows a proportional relationship and one that doesn’t.




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Day 10 Proportional Relationship.notebook    November 21, 2012



                                 Homework


                                      None




                                                             11

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Day 10 proportional relationship