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macroeconomic mcgrowhill macro ch 1 appendix 19e use this one

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01A

McGraw-Hill/Irwin

Appendi
x
Limits, Alternatives, and
Choices

Copyright © 2012 by The McGraw-Hill Companies, Inc. All rights reserved.


Construction of a Graph
Graph

Table
Income

Consumption

Point

$ 0

$ 50

a

100

100



b

200

150

c

300

200

d

400

250

e

Consumption (C)

$400

300

e

c

100
0

LO7

d

200

b
a
$100

200

300
400
Income (Y)
1-2


Direct and Inverse Relationships

• Direct relationship


LO7

Both variables move up or down
together

1-3


Direct and Inverse Relationships

• Inverse relationship


LO7

Variables move opposite of each
other
1-4


Slope of a Line

• Positive slope of a straight line
Vertical Change
+50
1
Slope =
=
= = 0.5
Horizontal Change +100 2

Consumption (C)

$400


300
200
100
0

LO7

50 Vertical
Change
100
Horizontal Change
$100

200
300
Income (Y)

400
1-5


Slope of a Line
Ticket Price

$50
40
30
20
10
0


LO7

Attendance,
thousands

0
4
8
12
16
20

1-6


Slope of a Line

• Negative slope of a straight line
Vertical Change
-10
Slope =
=
=
Horizontal Change
+4

-2

1

=
2

-2.5

50

Ticket Price $

40
30
Vertical
20 Change -10

4

10

Horizontal Change
4

8

12

Attendance
LO7

16


20
1-7


Slope of a Line

LO7



Slopes and measurement
units



Slopes and marginal
analysis



Infinite and zero slopes

1-8


Slope =
Infinite

Purchases of watches


LO7

Consumption

Price of Bananas

Slope of a Line

Slope = Zero

Divorce Rate

1-9


Equation of a Linear Relationship



y = a + bx






LO7

y is the dependent variable
a is the vertical intercept

b is the slope of the line
x is the independent variable

1-10


Equation of a Line

Consumption (C)

Y = 50 + .5C
$400

300
200
100
0

LO7

$100

200
300
Income (Y)

400
1-11



Equation of a Line
P = 50 – 2.5Q
50

Ticket Price

40
30
20
10

4

8

12

16

20

Attendance
LO7

1-12


Slope of a Nonlinear Curve





LO7

Slope always changes
Must use a line tangent to the
curve to find slope at that point

1-13


Slope of a Nonlinear Curve

• Use tangent lines to find the slope

20
15
10
5
0
5
LO7

10

15

20
1-14




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