The following table gives the U.S. national debt for selected years from 1900 to 2013. U.S. Debt ($ billions) 3233 5225 U.S. Debt ($ billions) Year 1900 1910 1920 1930 1940 1945 1955 1965 1975 1965 (a) Using a function of the form ya b^x, with x=0 in 1900 and y equal to the national debt in billions, model the data. (Round your coefficients to four decimal places.) y= 1 1 24 16 43 259 273 314 533 1823 Year 1990 1996 2000 2005 2009 2010 2011 2012 2013 5674 7933 11,957 13,529 15,476 16,067 16,856 (b) Use the model to predict the debt in 2023. (Round your answer to the nearest billion.) s billion (c) Predict the year in which the debt will be $71 trillion ($71,000 billion).
The following table gives the U.S. national debt for selected years from 1900 to 2013. U.S. Debt ($ billions) 3233 5225 U.S. Debt ($ billions) Year 1900 1910 1920 1930 1940 1945 1955 1965 1975 1965 (a) Using a function of the form ya b^x, with x=0 in 1900 and y equal to the national debt in billions, model the data. (Round your coefficients to four decimal places.) y= 1 1 24 16 43 259 273 314 533 1823 Year 1990 1996 2000 2005 2009 2010 2011 2012 2013 5674 7933 11,957 13,529 15,476 16,067 16,856 (b) Use the model to predict the debt in 2023. (Round your answer to the nearest billion.) s billion (c) Predict the year in which the debt will be $71 trillion ($71,000 billion).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The following table gives the U.S. national debt for selected years from 1900 to 2013.
U.S. Debt
($ billions)
3233
5225
Year
1900
1910
1920
1930
1940
1945
1955
1965
1975
1965
U.S. Debt
($ billions)
1
1
24
16
43
259
273
314
533
1823
Year
1990
1996
2000
2005
2009
2010
2011
2012
2013
5674
7933
11,957
13,529
15,476
16,067
16,856
(a) Using a function of the form ya b^x, with x=0 in 1900 and y equal to the national debt in billions, model the data. (Round your coefficients to four decimal places.)
y=
(b) Use the model to predict the debt in 2023. (Round your answer to the nearest billion.)
$
billion
(c) Predict the year in which the debt will be $71 trillion ($71,000 billion).
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