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1. Find the slope of the line which goes through the points (4,-1) and (1,8).

   1.   ?    3
   2.   ?    -3
   3.   ?    -1/3
   4.   ?    -7/3
   5.   ?    None of the answers given; click to see the solution.

2. Find the equation of the line which goes through the points (4,-1) and (1,8). Note: These are the same two points that were given in question #1.

   1.   ?    y = -3x + 13
   2.   ?    y = -3x + 5
   3.   ?    y = -3x + 11
   4.   ?    y = -3x - 13
   5.   ?    None of the answers given; click to see the solution.

3. Find the slope of the line which goes through the points (2, 5) and (9,5).

   1.   ?    Not defined.
   2.   ?    -4/3
   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 (2, 5) and (9,5). Note: these are the same two points which were given in question #3.

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

5. Find the equation of the vertical line which goes through the point (3, 6).

   1.   ?    y = 6
   2.   ?    The equation is undefined.
   3.   ?    x = 3
   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 $2400 per day, and total costs of $7200 per day at a daily output of 300 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) = 300x + 2400
   2.   ?    C(x) = 16x + 7200
   3.   ?    C(x) = -16x + 2400
   4.   ?    C(x) = 16x + 2400
   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 1200 items, the price must be $350, while for a demand of 1500 items, the price must be $300. 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) = (-1/6)x + 150
   2.   ?    p(x) = (-1/6)x + 50
   3.   ?    p(x) = -6x + 3300
   4.   ?    p(x) = (-1/6)x + 550
   5.   ?    None of the answers given; click to see the solution.