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. 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 a function of months. Graph the exponential function in the scatter diagram. Interpret the 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?