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Appendix 1 Applying Graphs to Economics
Key Concepts Summary Practice Quiz Internet Exercises ©2002South-Western College Publishing
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What is a direct relationship between two variables?
When one increases, the other increases and vice versa
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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).
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vertical axis/horizontal axis = Y/X
Slope = rise/run = vertical axis/horizontal axis = Y/X
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Expenditure for Personal Computer at Different Annual Incomes
Personal Expenditure Annual Income $1,000 $2,000 $3,000 $4,000 $10,000 $20,000 $30,000 $40,000
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Y D 4 C 3 B Y=1 2 A X=10 1 X 10 20 30 40
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What is an inverse relationship between two variables?
When one increases, the other decreases and vice versa
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Quantity of Compact Discs Consumers Purchased at Different Prices
Price per compact disc Quantity of compact discs $20 $15 $10 25,000,000 50,000,000 75,000,000 $5 100,000,000
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Y Negative Sloping Curve A 20 B 15 Y=5 C 10 D X=25 5 X 25 50 75 100
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What is an independent relationship between two variables?
When one variable changes, the other variable is unchanged
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Expenditure for Toothpaste at Different Annual Incomes
Personal Expenditure Annual Income $10 $20 $30 $40 $10,000 $20,000 $30,000 $40,000
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Y 40 30 A B C D 20 X=10 10 Y=0 X 10 20 30 40
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Can slope vary along a curve?
Yes, the slope of a curve can vary along the curve
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Y 4 3 A 2 Y=2 1 X X=30 10 20 30 40
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Y 20 15 A Y= 10 -10 5 X X=50 25 50 75 100
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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
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What is an example of a change other than price?
When income increases the whole demand curve shifts upward
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Y 20 Annual Income $60,000 15 10 Annual Income $30,000 5 X 25 50 75 100
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Positive Sloping Curve
Y D 20 15 C 10 5 X 5 10 15 20
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©2002South-Western College Publishing
Key Concepts ©2002South-Western College Publishing
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What is a direct relationship between two variables?
What is the slope of a line? What is an inverse relationship between two variables? What is an independent relationship between two variables? Can slope vary along a curve? What can change other than price?
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©2002South-Western College Publishing
Summary ©2002South-Western College Publishing
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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.
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Y A direct relationship D 4 C 3 B Y=1 2 A X=10 1 X 10 20 30 40
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An inverse relationship
Y An inverse relationship A 20 B 15 Y=5 C 10 D X=25 5 X 25 50 75 100
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An independent relationship
Y An independent relationship 40 30 A B C D 20 X=10 10 Y=0 X 10 20 30 40
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Positive slope of an upward-sloping curve
Y Positive slope of an upward-sloping curve 4 3 A 2 Y=2 1 X X=30 10 20 30 40
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Negative slope of an downward-sloping curve
Y Negative slope of an downward-sloping curve 20 15 A Y= 10 -10 5 X X=50 25 50 75 100
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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
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