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Appendix 1
Applying Graphs to
   Economics
 • Key Concepts
 • Summary
 • Practice Quiz
 •Internet Exercises
   ©1999 South-Western College Publishing
What is a
   Direct Relationship
 between two variables?
         When one increases,
          the other increases
          and vice versa
* Return to previous slide while in slide show
                                          2
What is the
     Slope of a line?
The ratio of change in the
 variable on the vertical axis
 (the rise or fall) to change
 in the variable on the
 horizontal axis (the run).
                      3
Slope = rise/run =
∆vertical axis/∆horizontal axis
           = ∆Y/∆X


                      4
Expenditure for Personal Computer
   at Different Annual Incomes
     Personal        Annual
    Expenditure      Income

      $1,000       $10,000
      $2,000       $20,000
      $3,000       $30,000
      $4,000       $40,000


                        5
Y                    D
4
               C
3
         B           Y=1
2
    A         X=10
1
                           X
    10   20     30    40
                      6
What is an Inverse
Relationship between
   two variables?
  When one increases,
   the other decreases
   and vice versa

                  7
Quantity of Compact Discs Consumers
   Purchased at Different Prices
        Price per     Quantity of
      compact disc   compact discs

         $20          25,000,000
         $15          50,000,000
         $10          75,000,000
         $5          100,000,000

                             8
Y     A
          Negative Sloping Curve

20
15           B
     Y=5             C
10
              X=25        D
5
                              X
     25     50    75 100
                      9
What is an Independent
 Relationship between
    two variables?
When one variable changes,
 the other variable remains
 unchanged

                    10
Expenditure for Toothpaste
at Different Annual Incomes
   Personal      Annual
  Expenditure    Income

    $10         $10,000
    $20         $20,000
    $30         $30,000
    $40         $40,000


                     11
Y
40
30
20    A    B    C   D
            X=10
10           Y=0
                        X
     10   20   30 40
                   12
Can Slope vary
    along a curve?
Yes, the slope of a curve
 can vary along the curve


                    13
Y
4
3
          A
2                Y=2
1
          X=30          X
    10   20   30   40
                   14
Y
20
15
      Y=     A
10   -10
5
            X=50          X
       25   50     75   100
                        15
How can I tell the
 difference between a
movement along a curve
and a shift in the curve?
 When price changes, there
  is movement along a
  curve. When something
  other than price changes,
  the whole curve shifts.
                     16
What can change
    other than price?
When income increases, for
 example, the whole demand
 curve shifts upward

                   17
Y
20            Annual Income
              $60,000
15
10
     Annual Income
5    $30,000
                          X
      25   50    75 100
                     18
Positive Sloping Curve
Y
20                       D
15
10   C
5
                               X
         5    10    15    20
                          19
Key Concepts



  ©1999 South-Western College Publishing
                                           20
•   What is a Direct Relationship between two varia
•   What is the Slope of a line?
•   What is an Inverse Relationship between two va
•   What is an Independent Relationship between tw
•   Can Slope vary along a curve?
•   What can change other than price?




                                   21
Summary




©1999 South-Western College Publishing
                                         22
Graphs provide a means to clearly
show economic relationships in two-
dimensional space. Economic analysis
is often concerned with two variables
confined to the upper right-hand
(northeast) quadrant of the coordinate
number system.


                             23
Y   A direct relationship
                      D
4
                C
3
         B            Y=1
2
    A          X=10
1
                            X
    10    20     30    40
                       24
Y     A
          An inverse relationship

20
15           B
     Y=5             C
10
              X=25        D
5
                              X
     25     50    75 100
                      25
Y    An independent relationship
40
30
20       A     B     C     D
                X=10
10               Y=0
                               X
       10    20     30 40
                        26
Y    Positive slope of an
    upward-sloping curve
4
3
           A
2                 Y=2
1
           X=30             X
    10   20    30    40
                     27
Y       Negative slope of an
      downward-sloping curve
20
15
      Y=      A
10   -10
5
            X=50               X
       25   50     75   100
                        28
A shift in a curve occurs only
when the ceteris paribus
assumption is relaxed and a third
variable not on either axis of the
graph is allowed to change



                            29
Appendix Quiz



  ©1999 South-Western College Publishing
                                           30
1. Straight line CD in Exhibit A-7 on the next
  page shows that
   a. increasing the value of X will increase the
     value of Y.
   b. decreasing the value of X will decrease
     the value of Y.
   c. there is a direct relationship between X
     and Y.
   d. all of the above.
 D. As the value of X increases, the value
    of Y increases, and vice versa; this is
    called a direct relationship.
               ©1999 South-Western College Publishing
                                                        31
Y             EXHIBIT A-7
20
15                      D
10   C
 5
                            X
         5   10   15   20
                       32
2. In Exhibit A-7, the slope of straight
  line CD is
   a. 3.
   b. 1.
   c. -1.
   d. 1/2.
D. The slope of a line is measured by the
  rise over the run, or a change in vertical
  divided by a change in the horizontal.
  For example, as Y increases from 5
  units to 15, X increases from 0 to 20.
  The slope is 10 divided by 20.
                                  33
3. In Exhibit A-7, the slope of straight line
  CD is
   a. positive.
   b. zero.
   c. negative.
   d. variable.
A. When both X and Y move in the
 same direction, it is said that they are
 directly related to one another.


                                    34
4. Straight line AB in Exhibit A-8 shows that
   a. increasing the value of X reduces the
     value of Y.
   b. decreasing the value of X increases the
     value of Y.
   c. there is an inverse relationship between
     X and Y.
   d. all of the above.
  D. When the value of X decreases, the
    value of Y increases and vice versa;
    this shows a direct relationship
    between X and Y.
                                   35
Y
20 A        EXHIBIT A-8

15
10
 5                   B
                          X
       5   10   15   20
                     36
5. As shown in Exhibit A-8, the slope of
  straight line AB
   a. decreases with increases in X.
   b. increases with increases in X.
   c. increases with decreases in X.
   d. remains constant with changes in X.
D. The slope of a straight line stays the
 same between the two points on the line.


                                 37
6. In Exhibit A-8, the slope of straight
  line AB is
   a. 3.
   b. 1.
   c. -1.
   d. -5.
C. There is a one to one inverse ratio
 between a change in X and a change
 in Y. For example, as Y decreases
 from 20 units to 0, X increases from 0
 to 20. The slope is -20 divided by 20.

                                  38
7. A shift is a curve represents a change in
   a. the variable on the horizontal axis.
   b. the variable on the vertical axis.
   c. a third variable that is not on either
     axis.
   d. any variable that is relevant to the
     relationship being graphed.

   C. A shift occurs when something
    changes other than the price.

                                  39
8. A change in a third variable not on
  either axis of a graph is illustrated
  with a
   a. horizontal or vertical line.
   b. movement along a curve.
   c. shift of a curve.
   d. point of intersection.
C. When price changes the movement is
 always along a stationary curve.
 When something changes other than
 price, the whole curve shifts.
                                 40
Internet Exercises
Click on the picture of the book,
 choose updates by chapter for
 the latest internet exercises




         ©1999 South-Western College Publishing

                                                  41
END

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01a applying graphs to economics

  • 1. Appendix 1 Applying Graphs to Economics • Key Concepts • Summary • Practice Quiz •Internet Exercises ©1999 South-Western College Publishing
  • 2. What is a Direct Relationship between two variables? When one increases, the other increases and vice versa * Return to previous slide while in slide show 2
  • 3. What is the Slope of a line? The ratio of change in the variable on the vertical axis (the rise or fall) to change in the variable on the horizontal axis (the run). 3
  • 4. Slope = rise/run = ∆vertical axis/∆horizontal axis = ∆Y/∆X 4
  • 5. Expenditure for Personal Computer at Different Annual Incomes Personal Annual Expenditure Income $1,000 $10,000 $2,000 $20,000 $3,000 $30,000 $4,000 $40,000 5
  • 6. Y D 4 C 3 B Y=1 2 A X=10 1 X 10 20 30 40 6
  • 7. What is an Inverse Relationship between two variables? When one increases, the other decreases and vice versa 7
  • 8. Quantity of Compact Discs Consumers Purchased at Different Prices Price per Quantity of compact disc compact discs $20 25,000,000 $15 50,000,000 $10 75,000,000 $5 100,000,000 8
  • 9. Y A Negative Sloping Curve 20 15 B Y=5 C 10 X=25 D 5 X 25 50 75 100 9
  • 10. What is an Independent Relationship between two variables? When one variable changes, the other variable remains unchanged 10
  • 11. Expenditure for Toothpaste at Different Annual Incomes Personal Annual Expenditure Income $10 $10,000 $20 $20,000 $30 $30,000 $40 $40,000 11
  • 12. Y 40 30 20 A B C D X=10 10 Y=0 X 10 20 30 40 12
  • 13. Can Slope vary along a curve? Yes, the slope of a curve can vary along the curve 13
  • 14. Y 4 3 A 2 Y=2 1 X=30 X 10 20 30 40 14
  • 15. Y 20 15 Y= A 10 -10 5 X=50 X 25 50 75 100 15
  • 16. How can I tell the difference between a movement along a curve and a shift in the curve? When price changes, there is movement along a curve. When something other than price changes, the whole curve shifts. 16
  • 17. What can change other than price? When income increases, for example, the whole demand curve shifts upward 17
  • 18. Y 20 Annual Income $60,000 15 10 Annual Income 5 $30,000 X 25 50 75 100 18
  • 19. Positive Sloping Curve Y 20 D 15 10 C 5 X 5 10 15 20 19
  • 20. Key Concepts ©1999 South-Western College Publishing 20
  • 21. What is a Direct Relationship between two varia • What is the Slope of a line? • What is an Inverse Relationship between two va • What is an Independent Relationship between tw • Can Slope vary along a curve? • What can change other than price? 21
  • 23. Graphs provide a means to clearly show economic relationships in two- dimensional space. Economic analysis is often concerned with two variables confined to the upper right-hand (northeast) quadrant of the coordinate number system. 23
  • 24. Y A direct relationship D 4 C 3 B Y=1 2 A X=10 1 X 10 20 30 40 24
  • 25. Y A An inverse relationship 20 15 B Y=5 C 10 X=25 D 5 X 25 50 75 100 25
  • 26. Y An independent relationship 40 30 20 A B C D X=10 10 Y=0 X 10 20 30 40 26
  • 27. Y Positive slope of an upward-sloping curve 4 3 A 2 Y=2 1 X=30 X 10 20 30 40 27
  • 28. Y Negative slope of an downward-sloping curve 20 15 Y= A 10 -10 5 X=50 X 25 50 75 100 28
  • 29. A shift in a curve occurs only when the ceteris paribus assumption is relaxed and a third variable not on either axis of the graph is allowed to change 29
  • 30. Appendix Quiz ©1999 South-Western College Publishing 30
  • 31. 1. Straight line CD in Exhibit A-7 on the next page shows that a. increasing the value of X will increase the value of Y. b. decreasing the value of X will decrease the value of Y. c. there is a direct relationship between X and Y. d. all of the above. D. As the value of X increases, the value of Y increases, and vice versa; this is called a direct relationship. ©1999 South-Western College Publishing 31
  • 32. Y EXHIBIT A-7 20 15 D 10 C 5 X 5 10 15 20 32
  • 33. 2. In Exhibit A-7, the slope of straight line CD is a. 3. b. 1. c. -1. d. 1/2. D. The slope of a line is measured by the rise over the run, or a change in vertical divided by a change in the horizontal. For example, as Y increases from 5 units to 15, X increases from 0 to 20. The slope is 10 divided by 20. 33
  • 34. 3. In Exhibit A-7, the slope of straight line CD is a. positive. b. zero. c. negative. d. variable. A. When both X and Y move in the same direction, it is said that they are directly related to one another. 34
  • 35. 4. Straight line AB in Exhibit A-8 shows that a. increasing the value of X reduces the value of Y. b. decreasing the value of X increases the value of Y. c. there is an inverse relationship between X and Y. d. all of the above. D. When the value of X decreases, the value of Y increases and vice versa; this shows a direct relationship between X and Y. 35
  • 36. Y 20 A EXHIBIT A-8 15 10 5 B X 5 10 15 20 36
  • 37. 5. As shown in Exhibit A-8, the slope of straight line AB a. decreases with increases in X. b. increases with increases in X. c. increases with decreases in X. d. remains constant with changes in X. D. The slope of a straight line stays the same between the two points on the line. 37
  • 38. 6. In Exhibit A-8, the slope of straight line AB is a. 3. b. 1. c. -1. d. -5. C. There is a one to one inverse ratio between a change in X and a change in Y. For example, as Y decreases from 20 units to 0, X increases from 0 to 20. The slope is -20 divided by 20. 38
  • 39. 7. A shift is a curve represents a change in a. the variable on the horizontal axis. b. the variable on the vertical axis. c. a third variable that is not on either axis. d. any variable that is relevant to the relationship being graphed. C. A shift occurs when something changes other than the price. 39
  • 40. 8. A change in a third variable not on either axis of a graph is illustrated with a a. horizontal or vertical line. b. movement along a curve. c. shift of a curve. d. point of intersection. C. When price changes the movement is always along a stationary curve. When something changes other than price, the whole curve shifts. 40
  • 41. Internet Exercises Click on the picture of the book, choose updates by chapter for the latest internet exercises ©1999 South-Western College Publishing 41
  • 42. END