As a scientist, you study 200 grams of a radioactive material for several months and you have obtained the following data:
Month
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Weight
0
500
2
329
4
216.1
6
142
8
93
10
61.29
12
40.3
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.
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?
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