# The data in the table below represent the percentage of patients who have survived after diagnosis of

## Question:

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) = A_{0}e^{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).

## Step by Step Answer:

**Related Book For**

## Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry

**ISBN:** 9780137945139

5th Edition

**Authors:** Michael Sullivan