The data in the table below represent 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, draw a scatter plot of the data with time after diagnosis as the independent variable.

(b) Using a graphing utility, build an exponential model from the data.

(c) Express the function found in part (b) in the form A(t) = A₀e^kt .

(d) Graph the exponential function found in part (b) or (c) on the scatter plot.

(e) Use the model to predict the percentage of patients diagnosed with advanced-stage cancer who survive for 4 years after initial diagnosis.

(f) Interpret the meaning of k in the function found in part (c).

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Time After Diagnosis (years) Percentage Surviving 0.5 1 1.5 2 WN N 2.5 3 3.5 95.7 83.6 74.0 58.6 47.4 41.9 33.6