The table shows the age-adjusted death rates per 100,000 citizens for heart disease in a certain country. Complete parts (a) and (b) below. (a) Find an exponential model of the form f(t)=yob' for these data, where t=0 corresponds to the year 2000. Use the first and last data points to find a function. 1(t)=¹ (Round to two decimal places as needed.) (b) Assuming the model remains accurate, estimate the death rate in 2019 and 2024. The death rate in 2019 will be (Round to one decimal place as needed.) people per 100,000 The death rate in 2024 will be (Round to one decimal place as needed.) people per 100,000. Year 2000 2002 2004 2006 2008 2010 2012 2014 Death Rate 257.4 239.4 215.0 211.9 185.6 178.9 171.8 166.0

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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The table shows the age-adjusted death rates per 100,000 citizens for heart
disease in a certain country. Complete parts (a) and (b) below.
(a) Find an exponential model of the form f(t)=yob' for these data, where t=0
corresponds to the year 2000.Use the first and last data points to find a function.
1(t)=¹
(Round to two decimal places as needed.)
(b) Assuming the model remains accurate, estimate the death rate in 2019 and
2024.
The death rate in 2019 will be
(Round to one decimal place as needed.)
people per 100,000
The death rate in 2024 will be
(Round to one decimal place as needed.)
people per 100,000.
Year
2000
2002
2004
2006
2008
2010
2012
2014
Death Rate
257.4
239.4
215.0
211.9
185.6
178.9
171.8
166.0
Transcribed Image Text:The table shows the age-adjusted death rates per 100,000 citizens for heart disease in a certain country. Complete parts (a) and (b) below. (a) Find an exponential model of the form f(t)=yob' for these data, where t=0 corresponds to the year 2000.Use the first and last data points to find a function. 1(t)=¹ (Round to two decimal places as needed.) (b) Assuming the model remains accurate, estimate the death rate in 2019 and 2024. The death rate in 2019 will be (Round to one decimal place as needed.) people per 100,000 The death rate in 2024 will be (Round to one decimal place as needed.) people per 100,000. Year 2000 2002 2004 2006 2008 2010 2012 2014 Death Rate 257.4 239.4 215.0 211.9 185.6 178.9 171.8 166.0
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