Problem

International Visitors The number of international visitors to the United States for selec...

International Visitors The number of international visitors to the United States for selected years 1986–2010 is given in the table below.

Year

U.S. Visitors (millions)

Year

U.S. Visitors (millions)

1986

26

2000

50.9

1987

29.5

2001

44.9

1988

34.1

2002

41.9

1989

36.6

2003

41.2

1990

39.5

2004

46.1

1991

43

2005

49.4

1992

47.3

2006

51.0

1994

45.5

2007

56.0

1995

44

2008

57.9

1996

46.3

2010

55

1997

48.9

 

 

a. Using an input equal to the number of years after 1980, graph the aligned data points and both of the given equations to determine which is the better model for the aligned data.

i.

ii. y = −0.031x2 + 2x + 21


b. If you had to pick one of these models to predict the number of international visitors in the year 2020, which model would be the more reasonable choice?

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