The following table gives the U.S. national debt for selected years from 1900 to 2013. U.S. Debt ($ billions) U.S. Debt ($ billions) Year Year 1900 1990 3233 1910 1 1996 5225 1920 24 2000 5674 1930 16 2005 7933 1940 43 2009 11,957 1945 259 2010 13,529 1955 273 2011 15,476 1965 314 2012 16,067 1975 533 2013 16,856 1985 1823 (a) Using a function of the form y = a*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 $51 trillion ($51,000 billion).

The following table gives the U.S. national debt for selected years from 1900 to 2013. U.S. Debt ($ billions) U.S. Debt ($ billions) Year Year 1900 1990 3233 1910 1 1996 5225 1920 24 2000 5674 1930 16 2005 7933 1940 43 2009 11,957 1945 259 2010 13,529 1955 273 2011 15,476 1965 314 2012 16,067 1975 533 2013 16,856 1985 1823 (a) Using a function of the form y = a*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 $51 trillion ($51,000 billion).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.3: Modeling Data With Linear Functions

Problem 18E: Tax Table Here are selected entries from the 2014 tax table that show the federal income tax owed by...

See similar textbooks

Similar questions

What is the total effect on the economy of a government tax rebate of $500 to each household in order to stimulate the economy if each household will spend of the rebate in goods and services?
The following list gives the gross federal debt(in millions of dollars) for the U.S. every 5 years from 1945 to 2000: Year Gross Federal Debt ($millions) 1945 260,123 1950 256,853 1955 274,366 1960 290,525 1965 322,318 1970 380,921 1975 541,925 1980 909,050 1985 1,817,521 1990 3,206,564 1995 4,921,005 2000 5,686,338 Construct a scatter plot with this data. Do you observe a trend? If so, what type of trend do you observe? Use Excel to fit a linear trend and an exponential trend to the data. Display the models and their respective r^2. Interpret both models. Which model seems to be more approprate and why?
The table below represents the monthly unemployment rates in the US from January of 2005 through May of 2016. Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 2005 5.3% 5.4% 5.2% 5.2% 5.1% 5.0% 5.0% 4.9% 5.0% 5.0% 5.0% 4.9% 2006 4.7% 4.8% 4.7% 4.7% 4.6% 4.6% 4.7% 4.7% 4.5% 4.4% 4.5% 4.4% 2007 4.6% 4.5% 4.4% 4.5% 4.4% 4.6% 4.7% 4.6% 4.7% 4.7% 4.7% 5.0% 2008 5.0% 4.9% 5.1% 5.0% 5.4% 5.6% 5.8% 6.1% 6.1% 6.5% 6.8% 7.3% 2009 7.8% 8.3% 8.7% 9.0% 9.4% 9.5% 9.5% 9.6% 9.8% 10.0% 9.9% 9.9% 2010 9.7% 9.8% 9.9% 9.9% 9.6% 9.4% 9.5% 9.5% 9.5% 9.5% 9.8% 9.4% 2011 9.1% 9.0% 9.0% 9.1% 9.0% 9.1% 9.0% 9.0% 9.0% 8.8% 8.6% 8.5% 2012 8.2% 8.3% 8.2% 8.2% 8.2% 8.2% 8.2% 8.1% 7.8% 7.8% 7.8% 7.9% 2013 7.9% 7.7% 7.5% 7.5% 7.5% 7.5% 7.3% 7.2%…
Suppose the table below gives the average tuition and fees at 2-year and 4-year state schools in a particular state. Values are adjusted to 2019 dollars. Academic Year 4-year state school 2-year state school 2005-06 $5,904 $2,661 2006-07 $6,066 $2,539 2007-08 $6,289 $2,604 2008-09 $7,222 $2,901 2009-10 $7,738 $3,065 2010-11 $8,035 $3,117 2011-12 $8,154 $3,108 2012-13 $8,497 $3,075 2013-14 $8,578 $3,025 2014-15 $9,390 $3,326 2015-16 $10,004 $3,504 2016-17 $10,474 $3,663 2017-18 $10,789 $3,830 2018-19 $10,874 $3,859 2019-20 $10,900 $3,907 Here is a graph of the information from the table. a. What is the absolute change in tuition and fees at this state's four-year institutions from 2005-06 to 2019-20? b. What is the relative change in tuition and fees at this state's four-year institutions from 2005-06 to 2019-20? Round to the nearest whole percentage…