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exponential growth and decay

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					Name: ________________________________ Partner Name: ________________________________

                                      Exponential Growth and Decay of Skittles.

                    Work in pairs. Each pair should receive two paper plates, and a cup of skittles.

                              DO NOT EAT THE SKITTLES UNTIL INSTRUCTED TO DO SO.

                                        The Classic Skittle Growth Experiment

   1. Place all of your skittles on one plate (your “source” plate). Place 4 Skittles into your cut.
   2. Shake the cup and toss Skittles onto the other plate (your “counting” plate).
      In the row for Toss “0” in the table below, record the number of Skittles tossed in the 2nd column and the
      number of Skittles with “S” side up in the last column.
      A. Toss        B. Total         C.    Number of Skittles       Graph on the back of this paper. Only use
                        Number of           Face Up.                 the positive graph.
                        Skittles
                        Tossed




   3.  Return the Skittles from your counting plate, and add an extra Skittle from your source plate for each one that
      had an “S” side up from this toss. Record this new total number of Skittles in your cup in the 2nd column for
      Toss 1.
   4. Repeat steps 2 and 3 until you have used all Skittles from the source plate.
   5. Plot your data from Column B vs. Data from Column A in the graph provided.
   6. Describe the relationship that exists between x and y.
    As the value of x increases, the value of y ____________________
    The rate of ___________________ (increases/decreases) becomes _______________(greater/less) as value of
      x increases.
    Now let’s construct a pattern (or function ) that models this experiment. Suppose you had started with 8
      Skittles on Toss 0, how many total Skittles would you expect to have on Toss 1? ______________________
      Using the total number of Skittles that you expected to have in Toss 1, how many total Skittles would you
      expect to have in Toss 2? Continue the pattern in the table below.
                           Toss number                                    Total number of Skittles
                                 0                                                    8
                                 1
                                 2
                                 3

        Remember the Exponential Growth Formula
        Exponential Growth:                                      a = initial amount of Skittles
                                                                 r = growth rate (probability of an “S”
                                                                 t = toss number
        What is the value of a in your Skittles growth experiment? ________________________
        What is the value of r in your Skittles growth experiment? ________________________
Name: ________________________________ Partner Name: ________________________________

                                      Exponential Growth and Decay of Skittles.

                    Work in pairs. Each pair should receive two paper plates, and a cup of skittles.

                              DO NOT EAT THE SKITTLES UNTIL INSTRUCTED TO DO SO.

                                     The Classic Skittle Spill (Decay) Experiment

   1.    Place all of your skittles on one plate (your “source” plate). Place 4 Skittles into your cut.
        Shake and toss the Skittles onto your counting plate, and then count the number with “s” side up. Eat all
        skittles that are not “s” side up. Record both the toss number and number of Skittles remaining on your
        plate in the table below.
        D. Toss        E. Total          F.    Number of Skittles      Graph on the back of this paper. Only use
                          Number of            Face Up.                the positive graph.
                          Skittles
                          Tossed




   2.    Return the remaining Skittles to your cup and repeat step 2 until there are no more Skittles left in your cup.
   3.   Create a scatterplot of your data in the graph provided.
   4.   Describe the relationship that exists between x and y.
       As the value of x increases, the value of y ____________________
       The rate of ___________________ (increases/decreases) becomes _______________(greater/less) as value of
        x increases.
       Now let’s construct a pattern (or function ) that models this experiment. Suppose you had started with 80
        Skittles on Toss 0, how many total Skittles would you expect to have on Toss 1? ______________________
        Using the number of Skittles that you expected to land “S” side up in Toss 0, how many would you expect to
        land “S” side up on Toss 1? Continue the pattern in the table below.
                             Toss number                                     Total number of Skittles
                                   0                                                   80
                                   1
                                   2
                                   3

        Remember the Exponential Growth Formula
        Exponential Decay:                                       a = initial amount of Skittles
                                                                 r = growth rate (probability of an “S”
                                                                 t = toss number

        What is the value of a in your Skittles decay experiment? ________________________
        What is the value of r in your Skittles decay experiment? ________________________

				
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posted:12/1/2011
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