The table shows the total assets (in trillions) held in a foreign bank for the given years. Complete parts (a) through (c) below. Year Assets 2000 | 2005 | 2007 | 2009 | 2011 | 2013 | 2015 54 79 119 15 43 150 198 a) Find an exponential model of the form f(t) = y,b* for these data, where t= 0 corresponds to the year 2000. If you do not have suitable ast data points to find a function. If you have a graphing calculator or other suitable technology, use exponential regression to find a fun The exponential model for the data is f(t) =DO' Round to three decimal places as needed.) b) Assume that the model remains accurate, and predict the total assets in 2018 and 2021. The total assets in 2018 will beO trillion. Round to one decimal place as needed.) The total assets in 2021 will be trillion
The table shows the total assets (in trillions) held in a foreign bank for the given years. Complete parts (a) through (c) below. Year Assets 2000 | 2005 | 2007 | 2009 | 2011 | 2013 | 2015 54 79 119 15 43 150 198 a) Find an exponential model of the form f(t) = y,b* for these data, where t= 0 corresponds to the year 2000. If you do not have suitable ast data points to find a function. If you have a graphing calculator or other suitable technology, use exponential regression to find a fun The exponential model for the data is f(t) =DO' Round to three decimal places as needed.) b) Assume that the model remains accurate, and predict the total assets in 2018 and 2021. The total assets in 2018 will beO trillion. Round to one decimal place as needed.) The total assets in 2021 will be trillion
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Transcribed Image Text:The table shows the total assets (in trillions) held in a foreign bank for the given years. Complete parts (a) through (c) below.
Year
2000 | 2005 | 2007 | 2009 | 2011 | 2013 | 2015
Assets
15
43
54
79
119
150
198
(a) Find an exponential model of the form f(t) = y,b' 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.
The exponential model for the data is f(t) =IO':
(Round to three decimal places as needed.)
(b) Assume that the model remains accurate, and predict the total assets in 2018 and 2021.
The total assets in 2018 will be
trillion.
(Round to one decimal place as needed.)
The total assets in 2021 will be
trillion.
(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 total assets exceed 450 trillion.
The first full year in which the total assets exceed 450 trillion is
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