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1. Find the slope of the line which goes through the points (3,-2) and (1,6).

   1.   ?    4
   2.   ?    -4
   3.   ?    -1/4
   4.   ?    -2
   5.   ?    None of the answers given; click to see the solution.

2. Find the equation of the line which goes through the points (3,-2) and (1,6). Note: These are the same two points that were given in question #1.

   1.   ?    y = -4x + 14
   2.   ?    y = -4x + 2
   3.   ?    y = -4x + 10
   4.   ?    y = -3x - 14
   5.   ?    None of the answers given; click to see the solution.

3. Find the slope of the line which goes through the points (3, 7) and (8,7).

   1.   ?    Not defined.
   2.   ?    -1/4
   3.   ?    0
   4.   ?    None of the answers given; click to see the solution.

4. Find the equation of the line which goes through the points (3, 7) and (8, 7). Note: these are the same two points which were given in question #3.

   1.   ?    y = 7
   2.   ?    The equation is undefined.
   3.   ?    x = 7
   4.   ?    y = x + 4
   5.   ?    None of the answers given; click to see the solution.

5. Find the equation of the vertical line which goes through the point (4, 7).

   1.   ?    y = 7
   2.   ?    The equation is undefined.
   3.   ?    x = 4
   4.   ?    y = x + 3
   5.   ?    None of the answers given; click to see the solution.

6. A manufacturing company has fixed costs (at 0 output) for a certain item of $1900 per day, and total costs of $9100 per day at a daily output of 400 items. A manufacturing company has fixed costs (at 0 output) for a certain item of $1900 per day, and total costs of $9100 per day at a daily output of 400 items. Assuming the total cost per day, C(x), is a linear function of the total ouput per day, x, write an equation for the cost function.

   1.   ?    C(x) = 400x + 1900
   2.   ?    C(x) = 18x + 9100
   3.   ?    C(x) = -18x + 1900
   4.   ?    C(x) = 18x + 1900
   5.   ?    None of the answers given; click to see the solution.

7. For a new product which is being introduced, the market research department of a manufacturing concern has found that the relationship between price and demand appears to be linear. For a demand of 600 items, the price must be $50, while for a demand of 900 items, the price must be $40. Let p(x) represent the price-demand function, that is, the price at which x items can be sold. Find an equation for p(x).

   1.   ?    p(x) = (-1/30)x + 30
   2.   ?    p(x) = (-1/30)x + 10
   3.   ?    p(x) = -30x + 2100
   4.   ?    p(x) = (-1/30)x + 70
   5.   ?    None of the answers given; click to see the solution.