GC Working with Radioactive Material Paper

Colorado State University GC Working with Radioactive Material Paper

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

200

1

176.6

2

151.8

3

138.8

4

118.2

5

103.6

6

91

Note that you are asked to use a graphing utility in this assignment. A recommended online utility is https://www.desmos.com/calculator (Links to an external site.). It allows graphing and then copying and posting into a Word document.

1. Using a graphing utility, draw a scatter diagram with month and weight as your variables.
2. Using a graphing utility, build an exponential model from the data
3. Express the weight as a function of months.
4. Graph the exponential function in the scatter diagram.
5. Interpret the 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?