MATH 133 -- Problem Set 1 grading instructions:

1.1/2 -- 1 point (for credit, answer must give meaning in terms of 
                  PCB levels and egg thickness -- just saying "value
                  of function at x = 200" is not enough)
                  
    6 -- 2 points (1 for correct slope, one for correct use of point-slope
                   form or determination of the y-intercept)
                   
      
    7 -- 2 points (1 for slope, 1 for intercept)
     
   10 -- 6 points (1 for each line-equation pair)
   
   13 -- 2 points (1 for each line)
   
   16 -- 2 points (1 for domain, 1 for range)
   
   18 -- 2 points (1 for domain, 1 for range)
   
   31 -- 4 points (1 for each part; if they just say -40 with
                   no explanation, take off 1 point and say
                   use previous part and show how)
                   
   34 -- 3 points (1 for each part.  Anything like "slopes are 
                   constant", or "increasing at a constant rate"
                   is OK for part a)
                   
1.2/6 -- 4 points (1 for graph, 1 for equation in each part)

   11 -- 4 points (1 for each part)
   
   16 -- 1 points (2 for each graph.  On a, if concavities aren't
                   exactly as in solution, don't take off points
                   but indicate correct shape.  If they show
                   a curve going up to a maximum then decreasing,
                   take off 1 point and add comment that revenue
                   doesn't take into account the cost of advertising,
                   just the money from sales of the product.)
                    
   18 -- 2 points (1 for correct constant "P0" and 1 for correct a)
   
   20 -- 2 points (1 for correct constant "P0" and 1 for correct a)
                   If they leave this one blank say: See Example 4 on
                   previous page.)
    
   24 -- 2 points (1 for P = P0a^t form, 1 for "decay") 
   
   28 -- 4 points (2 for any correct formula for air pressure at
                   general height, 1 for value of air pressue at
                   height of Mexico City, 1 for answer to question
                   as phrased.  Note: You may get solutions using
                   Pe^(kt) form, logarithms etc. even though we
                   haven't done that yet in class.  Any correct method
                   is OK) 
                   
   30 -- 4 points (2 for each part.  See comment on previous problem.
                   You may get answers like Q = Q0 e^(kt) for a with
                   k = -ln(2)/1620.  OK even though we haven't done
                   ln yet.)
   
   36 -- 4 points (2 for each part)