Question

The table shows the age-adjusted death rates per 100,000 citizens for heart disease in a certain country. Complete parts (a) through (c) below. (a) Find an exponential model of the form f(t) = y0bt for these data, where t = 0 corresponds to the year 2000. If you do not have suitable technology, use the first and last data points to find a function. If you have a graphing calculator or other suitable technology, use exponential regression to find a function. f(t) = ( )( )^t (Round to two decimal places as needed.) (b) Assuming the model remains accurate, estimate the death rate in 2019 and 2023. The death rate in 2019 will be [ ] people per 100,000. (Round to one decimal place as needed.) The death rate in 2023 will be [ ] people per 100,000. (Round to one decimal place as needed.) (c) Use a graphing calculator (or trial and error) to determine the first full year in which the death rate will be below 100. The first full year in which the death rate will be below 100 is [ ]. Year | Death Rate 2000 | 257.7 2002 | 239.6 2004 | 215.0 2006 | 210.9 2008 | 186.8 2010 | 178.7 2012 | 170.8 2014 | 167.0

          The table shows the age-adjusted death rates per 100,000 citizens for heart disease in a certain country. Complete parts (a) through (c) below.

(a) Find an exponential model of the form f(t) = y0bt for these data, where t = 0 corresponds to the year 2000. If you do not have suitable technology, use the first and last data points to find a function. If you have a graphing calculator or other suitable technology, use exponential regression to find a function.

f(t) = ( )( )^t
(Round to two decimal places as needed.)

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

The death rate in 2019 will be [ ] people per 100,000.
(Round to one decimal place as needed.)

The death rate in 2023 will be [ ] people per 100,000.
(Round to one decimal place as needed.)

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

The first full year in which the death rate will be below 100 is [ ].

Year | Death Rate
2000 | 257.7
2002 | 239.6
2004 | 215.0
2006 | 210.9
2008 | 186.8
2010 | 178.7
2012 | 170.8
2014 | 167.0

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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) through (c) below.

(a) Find an exponential model of the form f(t) = y0bt for these data, where t = 0 corresponds to the year 2000. If you do not have suitable technology, use the first and last data points to find a function. If you have a graphing calculator or other suitable technology, use exponential regression to find a function.

f(t) = ( )( )^t
(Round to two decimal places as needed.)

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

The death rate in 2019 will be [ ] people per 100,000.
(Round to one decimal place as needed.)

The death rate in 2023 will be [ ] people per 100,000.
(Round to one decimal place as needed.)

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

The first full year in which the death rate will be below 100 is [ ].

Year | Death Rate
2000 | 257.7
2002 | 239.6
2004 | 215.0
2006 | 210.9
2008 | 186.8
2010 | 178.7
2012 | 170.8
2014 | 167.0

Added by Diego C.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Vishal Parmar

10/03/2022

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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) through (c) below. (a) Find an exponential model of the form f(t) = y0b^t for these data, where t = 0 corresponds to the year 2000. If you do not have suitable technology, use the first and last data points to find a function. If you have a graphing calculator or other suitable technology, use exponential regression to find a function. f(t) = ( )( )^t (Round to two decimal places as needed.) (b) Assuming the model remains accurate, estimate the death rate in 2019 and 2023. The death rate in 2019 will be people per 100,000. (Round to one decimal place as needed.) The death rate in 2023 will be people per 100,000. (Round to one decimal place as needed.) (c) Use a graphing calculator (or trial and error) to determine the first full year in which the death rate will be below 100. The first full year in which the death rate will be below 100 is

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00:01 Okay, so in this question we have a given table and let's say x that is the number of year after 2000 so for the year 2000 we can take zero for the year 2002 we can write two and similarly we can write here four six eight ten twelve and fourteen right and let's say y that is the date rate right and here we want to find the exponential regression equation using this table right so first of all we need to use a graphic calculator or any other calculator right okay so in your t -i -84 calculator first you need to press stat button state right and after pressing this button this window will open and here you need to select edit button by pressing the enter key and after that this second window will open and for l1 column you need to enter all x values and for l2 column you need to enter all y values now again you need to press state button hd -a -d right so again this first window will open right and here you need to select c a lc which means calculator by pressing the right arrow key and then after this third window will open and here you need to select the tenth option which is xpreg which means exponential regression right and here you need to press enter button fold to five times until you get this fourth window right and here we can see that the exponential function is in the form of a multiply by b -d -2t right because and here we need to use use variable t because it is given in the question right now here a is equal to 251 .79 and b is equal to 0 .97 and t will be as it is right so this is the exponential regression equation and this is your answer number a now we need to find the death rate in 2019 so for the year 2000 we need to just substitute t is equal to 19 right now using the calculator we can find the value of why so that is approximately equal to 141 .2 right so this is the date rate in 2019 and now we need to find the death rate in 2023 so for that we need to substitute t is equal to 23 that therefore, approximate value of y is 125 people per year.

03:47 So this is the death rate in 2023.

03:52 Now we need to find the first fourth year in which the death rate will be low 100...

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