7. Decide which direction the graph of y = -x - 6 opens, its vertex point, and what its translation from y = x is. a) opens down, vertex at (0,–6 ), shifted b) opens down, vertex at (-6, 0 ), shifted down 6 units up 6 units c) opens up, vertex at ( 0, -6 ), shifted up 6 d) opens up, vertex at (-6,0 ), shifted units down 6 units

Find the set of solutions to the following linear program using a drawing in the 2D plane

The value y (in 1982–1984 dollars) of each dollar paid by consumers in each of the years from 1994 through 2008 in a country is represented by the ordered pairs. (1994, 0.677)         (1995, 0.655) (1996, 0.639)         (1997, 0.618) (1998, 0.609)         (1999, 0.605) (2000, 0.580)         (2001, 0.565) (2002, 0.557)         (2003, 0.542) (2004, 0.531)         (2005, 0.516) (2006, 0.499)         (2007, 0.478) (2008, 0.461)            (a) Use a spreadsheet software program to generate a scatter plot of the data. Let t = 4 represent 1994. Do the data appear linear? Yes or No    (b) Use the regression feature of the spreadsheet software program to find a linear model for the data. (Let t represent time. Round your numerical values to four decimal places.) y =      (c) Use the model to predict the value (in 1982–1984 dollars) of 1 dollar paid by consumers in 2010 and in 2013. (Round your answers to two decimal places.) 2010     $  2013 $  Discuss the…