Concept explainers
(a)
To graph: A scatter plot of the data
with
(b)
At least two function types that could be used for the data
using scatter plot from part (a).
(c)
The model, linear or quadratic, that accurately approximates the data points for the year
(d)
The year when the U.S. population is predicted to reach
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Chapter 2 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
- Box Office Hits The table below shows the highest grossing movie of the given year. The amount is the domestic box office gross, in millions of dollars. Year Movie Amount(millions) 2006 Pirates of the Caribbean: Dead Mans chest 423.32 2007 Spider-Man 3 336.53 2008 The Dark Knight 533.35 2009 Avatar 760.51 2010 Toy Story 3 415.00 2011 Harry Potter and the Deathly Hallows: Part 2 381.01 2012 The Avengers 623.28 2013 The Hunger Games: Catching Fire 424.67 2014 American Sniper 350.13 Let M=M(y) denote the highest grossing movie in year y, and let B=B(y) denote the gross for that movie. a. Give the values of M(2014) and B(2014). b. Use the functional notation to indicate the amount for the movie with the highest gross in 2013.arrow_forwardDVD Player Sales The table shows the number of DVD players sold in a small electronics store in the years 2003-2013. Year DVD players sold 2003 495 2004 513 2005 410 2006 402 2007 520 2008 580 2009 631 2010 719 2011 624 2012 582 2013 635 aWhat was the average rate of change of sales between 2003 and 2013? bWhat was the average rate of change of sales between 2003 and 2004? cWhat was the average rate of change of sales between 2004 and 2005? dBetween which two successive years did DVD player sales increase most quickly? Decrease most quickly?arrow_forwardMarginal Tax Rate The following table shows tax due for the given taxable income level for a single taxpayer. Taxable income Tax due 97, 000 21, 913 97, 050 21, 927 97, 100 21, 941 97, 150 21, 955 97, 200 21, 969 a. Show that the data in the table are linear. b. How much additional tax is due on each dollar over 97.000? c. What would you expect to be your tax due if you had a taxable income of 97, 000? of 98, 000? d. Find a linear formula that gives your tax due if your income is A dollars over 97, 000.arrow_forward
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