11) Now, take the natural log of equation (7) In C = In A + At (9) GRAPH 7: Plot on Cartesian coordinates In(counts/min) on the y axis versus median time on the x axis. Note that since the In(counts/min) is not close to zero, you SHOULD NOT start the y axis at zero. Choose a starting value that makes your data points fill at least half the page. Do you have a straight line as in Eq (9)? Indicate GOOD FIT or BAD FIT on the line. From the graph, determine 2, T (in minutes), and A. Show calculation of the slope and the value of A, 2, and T on the graph. Don't forget units.9) GRAPH 6: Plot counts/minute versus median time on Cartesian coordinates. Be sure to follow all the formats you learned in Graphing 1. Note that you need NOT start the vertical axis at zero counts/min. Do you see the exponential decay function of equation (2)? Be sure to circle your data points and draw a smooth curve through the points using a French Curve. Determine the constant A. Indicate its value on your graph, and include units. 10) Your equation for Graph 6 has the form C = A ext (7) At t = 0, C = A, the starting decay rate (counts/min). Att = T after one half life C becomes A/2, half as many atoms remain so the decay rate is one half as when you started counting. Using this information we find A/2 = A eAT (8) On a new sheet after Graph 6, find an expression for T (the half-life) in terms of 2. You will use this expression to find T for Graphs 7-10. Look at Graph 6 and determine the constant A. Note the place where C=A/2, where t=T. Determine T. Use the above equation to find 2. Don't forget units