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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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Chapter 4 Solutions
EBK MATHEMATICS WITH APPLICATIONS IN TH
- Explain why the values of an increasing exponentialfunction will eventually overtake the valuesof anincreasing linear function.arrow_forwardDoes a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.arrow_forwardUsing the model in Example 6, estimate the number of cases of flu on day 15.arrow_forward
- What is interpolation when using a linear model?arrow_forwardLook at this table: y 1 -2 -4 3 -8 4 -16 -32 %3D Write a linear function (y = mx + b) or an exponential function (y = a(b)*) that models the data. y = DELLarrow_forwardAccording to the data below how do you find the equation of the regression line ?arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
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