Concept explainers
Modeling DataThe amounts of the federal debt an (in trillions of dollars) of the United Stales from 2000 through 2011 are given below as ordered pairs of the form (n, an), where n represents the year, with n = 0 corresponding to 2000. (Source: U.S. Office of Management and Budget)
(0, 5.6), (1, 5.8), (2, 6.2), (3, 6.8), (4, 7.4), (5,7.9), (6, 8.5), (7, 9.0), (8, 10.0), (9, 11.9), (10, 13.5), (11, 14.8)
(a) Use the regression capabilities of a graphing utility to find a model of the form
an= bn2+ cn +d, n =0,1,. . ., 11
for the data. Use the graphing utility to plot the points and graph the model.
(b) Use the model to predict the amount of the federal debt in the year 2020.
Trending nowThis is a popular solution!
Chapter 9 Solutions
EBK CALCULUS: EARLY TRANSCENDENTAL FUNC
- Stock Market During the week of June 22, 2009, the closing numbers of the Dow Jones Industrial Average each day were: What was the overall change for the week? Was it positive or negative?arrow_forwardRunning In 1987, Canadian Ben Johnson set a world record in the 100-m sprint.The record was later taken away when he was found to have used an anabolic steroid to enhance his performance. His speed at various times in the race is given in the following table . Source: Information Graphics. Timesec Speedmph 0 0 1.84 12.9 3.80 23.8 6.38 26.3 7.23 26.3 8.96 26.0 9.83 25.7 a. Use the information in the table and left endpoints to estimate the distance that Johnson ran in miles. You will first need to calculate t for each interval. At the end, you will need to divide by 3600 the number of seconds in an hour, since the speed is in miles per hour. b. Repeat part a, using right endpoints. c. Wait a minute, we know that the distance Johnson ran is 100m. Divide this by 1609, the number of meters in a mile, to find how far Johnson ran in miles. Is your answer from part a or part b closer to the true answer? Briefly explain why you think this answer should be more accurate. d.arrow_forwardHeart Disease In a certain country, the number of deaths due to heart disease decreased from 235 in one year to 221 in the next year. What percentage decrease in deaths due to heart disease does this represent?arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage