The number of U.S. households (in millions) with cable television service is shown in the table, where x represents the number of years since 2007 and y represents households.

(a) Use the ordered pairs (x, y) to make a scatter diagram of the data.(b) Would a linear or a quadratic function better model the data?(c) Should the coefficient a of x² in a quadratic model y = ax² + bx + c be positive or negative?(d) Use the ordered pairs (0, 95), (4, 105), and (10, 96) to find a quadratic function thatmodels the data.(e) Use the model from part (d) to approximate the number of U.S. households (in millions)with cable television service in 2009 and 2015. How well does the modelapproximate the actual data from the table?

Transcribed Image Text:

Year 2007 2009 2011 2013 2015 2017 X 0 2 4 6 8 10 y 95 103 105 103 100 96 Data from Nielsen Media Research. PUEL