KSpending 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 thatmodels the data, letting your input representthe number of years after 1990.b. Find the best-fitting quadratic model for thedata, with x = 0 in 1990.c. Compare the two models by graphing eachmodel 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$)279Year199119923171993 3211994 35619954141996 4371997 4451998 4481999 4532000 482SpendingYear (billions of $)20014712002 4885322003200463468374685994285220052006200720082009

Concept: Power function: A function having a single term that is the sum of a real number, a…

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

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter8: Polynomials

Section8.1: Adding And Subtracting Polynomials

Problem 44PPS

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Question

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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