Chapter 4.2, Problem 11E

In the following exercises, find the exponential model as follows: If you do not have suitable technology, use the first and last data points to find a function. (See Examples 3 and 4.) If you have a graphing calculator or other suitable technology, use exponential regression to find a function. (See Example 4.)

Heart Disease The table shows the age-adjusted death rates per 100,000 Americans for heart disease. (Data from: U.S. Center for Health Statistics.)

Find the exponential model for these data, where $t=0$ corresponds to the year 2000.

Assuming the model remains accurate, estimate the death rate in 2019 and 2023.

Use a graphing calculator (or trial and error) to determine the first full year in which the death rate will be below 100.

Year	Death Rate
2000	257.6
2002	240.8
2004	217.0
2006	210.2
2008	186.5
2010	178.5
2012	170.5
2014	167.0