As a scientist, you study 200 grams of a radioactive material for seven months, and suppose you have obtained the following data: Month Weight
0 500
2 329
4 216.1
6 142
8 93
10 61.29
12 40.3
1. Using a graphing utility or Excel, build an exponential model from the data.
2. Using a graphing utility, build an exponential model from the data.
3. Express the weight as the function of months.
4. Graph the exponential function in the scatter diagram.
5. Interpret the constant parameters of this function.
6. Determine the half-life of the radioactive material.
7. How much radioactive material will be left after 30 months?
8. When will you have 40 grams of this radioactive material?