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
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 |
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Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
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