5 Spending on travel and tourism (in billions of dollars) for the years 1991-2009 is given in the table. a. Write the equation of a power function that models the data, letting your input represent the number of years after 1990. b. Find the best-fitting quadratic model for the data, with x = 0 in 1990. c. Compare the two models by graphing each model on the same axes as the data points. Which model appears to be the better fit? CH a. Determine the power function that best fits the given data. y= (Use integers or decimals for any numbers in the expression. Round to the nearest thousandth as needed.) Year 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 Spending (billions of $) 279 317 321 356 414 437 445 448 453 482 Spending Year (billions of $) 2001 471 2002 488 532 634 2003 683 746 859 942 852 2004 2005 2006 2007 2008 2009

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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K
Spending on travel and tourism (in billions of dollars) for the years 1991-2009 is given in the table.
a. Write the equation of a power function that
models the data, letting your input represent
the number of years after 1990.
b. Find the best-fitting quadratic model for the
data, with x = 0 in 1990.
c. Compare the two models by graphing each
model on the same axes as the data points.
Which model appears to be the better fit?
(
a. Determine the power function that best fits the given data.
y=
(Use integers or decimals for any numbers in the expression. Round to the nearest thousandth as needed.)
Spending
(billions of
$)
279
Year
1991
1992
317
1993 321
1994 356
1995
414
1996 437
1997 445
1998 448
1999 453
2000 482
Spending
Year (billions of $)
2001
471
2002 488
532
2003
2004
634
683
746
859
942
852
2005
2006
2007
2008
2009
Transcribed Image Text:K Spending on travel and tourism (in billions of dollars) for the years 1991-2009 is given in the table. a. Write the equation of a power function that models the data, letting your input represent the number of years after 1990. b. Find the best-fitting quadratic model for the data, with x = 0 in 1990. c. Compare the two models by graphing each model on the same axes as the data points. Which model appears to be the better fit? ( a. Determine the power function that best fits the given data. y= (Use integers or decimals for any numbers in the expression. Round to the nearest thousandth as needed.) Spending (billions of $) 279 Year 1991 1992 317 1993 321 1994 356 1995 414 1996 437 1997 445 1998 448 1999 453 2000 482 Spending Year (billions of $) 2001 471 2002 488 532 2003 2004 634 683 746 859 942 852 2005 2006 2007 2008 2009
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