Problem

Super Bowl Ads A one-minute ad during Super Bowl VII in 1973 cost $200,000. The price tag...

Super Bowl Ads A one-minute ad during Super Bowl VII in 1973 cost $200,000. The price tag for a 30-second ad during the 2011 Super Bowl was $3 million. The table below gives the cost for a 30-second ad during Super Bowls for selected years from the first Super Bowl in 1967 to 2011.

Year

Cost ($)

Year

Cost ($)

1967

42,500

2003

2,100,000

1973

100,000

2004

2,250,000

1990

700,000

2005

2,400,000

1992

800,000

2006

2,500,000

1994

900,000

2007

2,385,000

1996

1,100,000

2008

2,700,000

1998

1,300,000

2009

3,000,000

2000

2,100,000

2010

2,974,000

2001

2,050,000

2011

3,000,000

2002

1,900,000

 

 

a. Create a scatter plot of the data, with x equal to the number of years after 1960 and y equal to the number of millions of dollars.


b. Does it appear that the data could be modeled by a quadratic function?


c. Find the best-fitting quadratic function for the data.


d. According to the model, when will the cost for a 30-second ad be $4,000,000?

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