1.  The length and width of a rectangular garden are 15 meters and 10 meters,
         respectively.  A walkway of width x surrounds the garden.
         a.  Write the outside perimeter y of the walkway in terms of x.
         b.  Use a graphing utility to graph the equation for the perimeter.
         c.  Determine the slope of the graph in part b.  For each additional 1-meter increase in
              the width of the walkway, determine the increase in its outside perimeter.

    2.  The average annual salaries y of major league baseball players (in thousands of dollars)
         from 1983 to 1992 are given as ordered pairs (t,y), where t is the time in years, with
         t = 0 corresponding to 1980.  The ordered pairs are (3, 289), (4,329), (5,371),
         (6,413), (7,412), (8,439),(9,497), (10,598), (11, 851), and (12, 1029).
         a.  Use the regression capabilities of a graphing utility to find the regression line.
         b.  Use a graphing utility to plot the points and graph the regression line in the same
              viewing rectangle.
         c.  Use the regression line to predict the average salary in the year 2000.
         d.  Interpret the meaning of the slope of the regression line.

    3.  A real estate office handles an apartment complex with 50 units.  When the rent per unit
         is $580 per month, all 50 units are occupied.  However, when the rent is $625 per
         month, the average number of occupied units drops to 47.  Assume that the
         relationship between the monthly rent p and the demand x is linear.
         a.  Write the equation of the line giving the demand x in terms of the rent p.
         b.  Use a graphing utility to graph the demand equation and use the trace feature to
              predict the number of units occupied if the rent is raised to $655.
         c.  Use the demand equation to predict the number of units occupied if the rent is
              lowered to $595.  Verify graphically.
     

answer

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