Question

your data table
#half - lives hl 0 hl 1 hl 2 hl 3 hl 4 hl 5 hl 6 hl 7 hl 8

sk left 70 22 9 2 1 0

bl 0 48 13 7 1 1

class data table
#half - lives hl 0 hl 1 hl 2 hl 3 hl 4 hl 5 hl 6 hl 7 hl 8

sk left 426 160 109 72 44 28 20 14 8

bl 0 269 318 355 312 196 124 124 67

analysis questions

1. how does the class data reflect the definition of half - life? make sure you reference the class data and/or graph in your response.
2. is there any way to predict when a specific piece of candy will land marked side up or “decayed”? if you could follow the fate of an individual atom in a sample of radioactive material, could you predict when it would decay? explain.

Explanation:

1. The definition of half - life is the time required for half of the atoms of a radioactive substance to decay. In the class data table, as the number of half - lives increases, the number of "Sk Left" (presumably the non - decayed items) approximately halves each time. For example, starting with 426 at HL0, at HL1 it drops to 160 (close to half of 426), and this pattern continues to some extent through the subsequent half - lives.
2. For a specific piece of candy or an individual atom in a radioactive material, it is not possible to predict exactly when it will "decay" or land marked side up. Radioactive decay is a random process at the atomic level. While we can predict the overall behavior of a large number of atoms (using half - life for example), the decay of any single atom is unpredictable due to the probabilistic nature of quantum mechanics.

Answer:

1. The class data reflects the half - life definition as the number of non - decayed items ("Sk Left") approximately halves with each successive half - life. For instance, from HL0 to HL1, 426 drops to 160, close to half.
2. No, the decay of a specific piece of candy or an individual atom in a radioactive material is unpredictable because radioactive decay is a random, probabilistic process at the atomic level.