As a scientist, you study 200 grams of a radioactive material for several months and 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

• Using a graphing utility, draw a scatter diagram with month and weight as your variables.
• Using a graphing utility, build an exponential model from the data.
• Express the weight as the function of months.
• Graph the exponential function in the scatter diagram.
• Interpret the constant parameters of this function.
• Determine the half-life of the radioactive material.
• How much radioactive material will be left after 30 months?
• When will you have 40 grams of this radioactive material?