Graphs and Formulas

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    Using Graphs and Formulas

    Appendix

    A graph is like a street

    mapit is a simplified

    version of reality.

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    Appendix

    FIGURE 1A-1

    Bar Graphs and Pie Charts

    Graphs of One Variable

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    Appendix

    FIGURE 1A-2

    Time-Series Graphs

    Graphs of One Variable

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    Appendix

    FIGURE 1A-3

    Plotting Price and Quantity

    Points in a Graph

    Graphs of Two Variables

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    Appendix

    FIGURE 1A-4

    Calculating the

    Slope of a Line

    Graphs of Two Variables

    Slopes of Lines

    Change in value on the vertical axis y RiseSlope

    Change in value on the horizontal axis x Run= = =

    ($12 $14) 20.2

    (65 55) 10

    Price of pizzaSlope

    Quantity of pizza

    = = = =

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    Appendix

    FIGURE 1A-6

    Graphing the Positive

    Relationship between

    Income and Consumption

    Graphs of Two Variables

    Positive and Negative Relationships

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    Appendix

    FIGURE 1A-7

    Determining Cause and Effect

    Graphs of Two Variables

    Determining Cause and Effect

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    Appendix

    Graphs of Two Variables

    Are Graphs of Economic Relationships Always Straight Lines?

    The graphs of relationships between two economic

    variables that we have drawn so far have been straight

    lines.

    The relationship between two variables is linearwhen itcan be represented by a straight line.

    Few economic relationships are actually linear.

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    Appendix

    Graphs of Two Variables

    Slopes of Nonlinear Curves FIGURE 1A-8

    The Slope of a Nonlinear Curve

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    Appendix

    Formulas

    Formulas for a Percentage Change

    100xGDP

    GDPGDP

    2003

    20032004

    100x)periodfirsttheinValue

    periodfirsttheinValue-periodsecondtheinValue(changePercentage =

    One important formula is the percentage change.

    Thepercentage change is the change in some economic

    variable, usually from one period to the next, expressed as a

    percentage.

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    Appendix

    Formulas

    Formulas for the Areas of a Rectangle and a Triangle

    FIGURE 1A-9

    Showing a Firms Total

    Revenue on a Graph

    heightxbaserectangleaofArea =

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    Appendix

    Formulas

    Formulas for the Areas of a Rectangle and a Triangle

    FIGURE 1A-10

    The Area of a Triangle

    heightxbasextriangleaofArea 1/2=

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    Appendix

    Formulas

    Summary of Using Formulas

    1 Make sure you understand the economic concept

    that the formula represents.

    2 Make sure you are using the correct formula for the

    problem you are solving.

    3 Make sure that the number you calculate using theformula is economically reasonable. For example, if

    you are using a formula to calculate a firms revenue

    and your answer is a negative number, you know

    you made a mistake somewhere.

    Whenever you must use a formula, you should follow

    these steps: