(Solved): The data in the table below represents the percentage of patients who have survived after diagnosis ...

The data in the table below represents the percentage of patients who have survived after diagnosis of advanced-stage breast cancer at 6 -month intervals of time. (a) Using a graphing utility, build an exponential model from the data. \( y= \) (Type integers or decimals rounded to four decimal places as needed.) (b) Express the function found in part (a) in the form \( \mathrm{A}(\mathrm{t})=\mathrm{A}_{0} e^{k t} \). \( \mathrm{A}(\mathrm{t})= \) (Type integers or decimals rounded to four decimal places as needed.) (c) Draw a scatter diagram of the data with the time after diagnosis as the independent variable. Graph the exponential function found in part (a) or (b) on the scatter diagram. Choose the correct graph below. Use the graphing window \( [0,5,1] \times[0,100,10] \). A. B. C. D. (d) What percentage of patients diagnosed with advanced-stage cancer are expected to survive for 4 years after the initial diagnosis? About \%. of patients are expected to survive for 4 years after the initial diagnosis (Round to two decimal places as needed.) (e) Interpret the meaning of \( k \) in the function found in part (b). Choose the correct answer below. A. The value \( k \) is the exponential growth rate. It represents the rate at which the percentage of patients is increasing. B. The value \( k \) is the linear growth rate It represents the rate at which the percentage of patients is decreasing C. The value \( k \) is the linear growth rate. It represents the rate at which the percentage of patients is increasing D. The value \( k \) is the exponential growth rate. It represents the rate at which the percentage of patients is decreasing.