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4-2 Tables and Graphs

Warm Up
Problem of the Day
Lesson Presentation

Course 2
4-2 Tables and Graphs
Warm Up

Identify the quadrant that contains each point.
1. (6, –4)

lV

2. (5, 7)

l

3. (–3, –3)

lll

4. (–1, 10)

ll

Course 2
4-2 Tables and Graphs
Problem of the Day
In which quadrant are all the points
whose x-coordinate is negative and
whose y-coordinate is positive located?
ll

Course 2
4-2 Tables and Graphs

Learn to identify and graph ordered pairs
from a table of values.

Course 2
4-2 Tables and Graphs
In the wild, giant anteaters nurse their young. At
Houston Zoo, baby giant anteaters are bottle-fed.
By the time a baby is 3 months old, it drinks
about 0.5 L of formula each day. The table shows
the amount of formula needed to feed one baby
giant anteater over several days.

Course 2
4-2 Tables and Graphs
Additional Example 1: Identifying Ordered Pairs from
a Table of Values
Write the ordered pairs from the table.

x

y

(x, y)

−2
4
0
5

−1
7
9

(−2, −1)
(4, 7)
(0, 9)

−3

(5, −3)

The ordered pairs are (−2, −1), (4, 7), (0, 9),
and (5, −3).
Course 2
4-2 Tables and Graphs
Check It Out: Example 1
Write the ordered pairs from the table.

x
3
2
8
−1

y

(x, y)

−4
−8
3
0

(3, −4)
(2, −8)
(8, 3)
(−1, 0)

The ordered pairs are (3, −4), (2, −8), (8, 3),
and (−1, 0).
Course 2
4-2 Tables and Graphs
Additional Example 2: Graphing Ordered Pairs from a
Table of Values
Write and graph the ordered pairs from the table.

x
1
−1
3
−5

y
4
−2
2
0

y
5
4
3

(–5, 0)

2

• (3, 2)

1

x

•

0
–5 –4 –3 –2 –1
–1
(–1, –2) –2
•
–3

–4
The ordered pairs are
–5
(1, 4), (−1, −2), (3, 2),
and (−5, 0).
Plot the points on a coordinate plane.
Course 2

• (1, 4)

1 2 3

4 5
4-2 Tables and Graphs
Check It Out: Example 2
Write and graph the ordered pairs from the table.

x
2
−3
3
−2

y
3
−3
−2
4

y
5

(–2, 4) •

4
3
2
1

0
–5 –4 –3 –2 –1
–1
–2

(–3, –3) •

–3

–4
The ordered pairs are
–5
(2, 3), (−3, −3), (3, 2),
and (−2, 4).
Plot the points on a coordinate plane.
Course 2

• (2, 3)
x
1 2 3

4 5

• (3, –2)
4-2 Tables and Graphs
Additional Example 3: Application

Graph the data given in the table showing the
number of pounds of food purchased and its cost.
What appears to be the relationship between the
number of pounds and the cost in the table below?
Number of Pounds

1

2

3

4

Cost($)

1.85

3.70

5.55

7.40

Write the ordered pairs from the table.
Number of Pounds

1

2

3

4

Cost($)

1.85

3.70

5.55

7.40

(x, y)

(1, 1.85)

(2, 3.70)

(3, 5.55)

(4, 7.40)

Course 2
4-2 Tables and Graphs
Additional Example 3 Continued
The ordered pairs are (1, 1.85), (2, 3.70), (3, 5.55),
and (4, 7.40).

The graph shows
that the cost is the
number of pounds
multiplied by 1.85.

Course 2

10
8

Cost ($)

Now plot the
points on a
coordinate plane.
Label the axes.

6
4
2
0
0

2

4

Number of Pounds

6
4-2 Tables and Graphs
Check It Out: Example 3
Graph the data in the table showing the
number of days and its cost. What appears to
be the relationship between the number of
days and the cost shown in the table below?
Number of Days

3

4

5

6

Cost($)

3.75

5.00

6.25

7.50

Write the ordered pairs from the table.
Number of Days

3

4

5

6

Cost($)

3.75

5.00

6.25

7.50

(x, y)

(3, 3.75)

(4, 5.00)

(5, 6.25)

(6, 7.50)

Course 2
4-2 Tables and Graphs
Check It Out: Example 3 Continued
The ordered pairs are (3, 3.75), (4, 5.00), (5, 6.25),
and (6, 7.50).

The graph shows
that the cost is
the number of
days multiplied by
1.25.

8
7
6

Cost ($)

Now plot the
points on a
coordinate plane.
Label the axes.

5
4
3
2
1
0
2

3

4

5

Number of Days
Course 2

6
4-2 Tables Lesson Title Here
Insert and Graphs
Lesson Quiz: Part I
1. Write and graph the ordered pairs from the
table.
y
10

x
y
2
6
–10 10
–4 –4
–6 –8

(-10, 10) •

8
6

• (2, 6)

4
2

0
–10–8 –6 –4 –2
–2
(-4, -4) • –4

x
2 4 6

8 10

–6

(-6, -8) •

–8
–10

The ordered pairs are (2, 6), (-10, 10), (-4, -4), and (-6, -8).
Course 2
4-2 Tables Lesson Title Here
Insert and Graphs
Lesson Quiz: Part II
2. The table shows the number of hours a student
studies for a test and scores. Graph the data to
find the number of correct answers after
studying for 6 hours. What appears to be the
relationship between the number of hours of
study and the score?
Hours

1

2

3

4

Scores

15

30

45

60

90; the score is multiplied by 15.
Course 2

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C2 ch04 03

  • 1. 4-2 Tables and Graphs Warm Up Problem of the Day Lesson Presentation Course 2
  • 2. 4-2 Tables and Graphs Warm Up Identify the quadrant that contains each point. 1. (6, –4) lV 2. (5, 7) l 3. (–3, –3) lll 4. (–1, 10) ll Course 2
  • 3. 4-2 Tables and Graphs Problem of the Day In which quadrant are all the points whose x-coordinate is negative and whose y-coordinate is positive located? ll Course 2
  • 4. 4-2 Tables and Graphs Learn to identify and graph ordered pairs from a table of values. Course 2
  • 5. 4-2 Tables and Graphs In the wild, giant anteaters nurse their young. At Houston Zoo, baby giant anteaters are bottle-fed. By the time a baby is 3 months old, it drinks about 0.5 L of formula each day. The table shows the amount of formula needed to feed one baby giant anteater over several days. Course 2
  • 6. 4-2 Tables and Graphs Additional Example 1: Identifying Ordered Pairs from a Table of Values Write the ordered pairs from the table. x y (x, y) −2 4 0 5 −1 7 9 (−2, −1) (4, 7) (0, 9) −3 (5, −3) The ordered pairs are (−2, −1), (4, 7), (0, 9), and (5, −3). Course 2
  • 7. 4-2 Tables and Graphs Check It Out: Example 1 Write the ordered pairs from the table. x 3 2 8 −1 y (x, y) −4 −8 3 0 (3, −4) (2, −8) (8, 3) (−1, 0) The ordered pairs are (3, −4), (2, −8), (8, 3), and (−1, 0). Course 2
  • 8. 4-2 Tables and Graphs Additional Example 2: Graphing Ordered Pairs from a Table of Values Write and graph the ordered pairs from the table. x 1 −1 3 −5 y 4 −2 2 0 y 5 4 3 (–5, 0) 2 • (3, 2) 1 x • 0 –5 –4 –3 –2 –1 –1 (–1, –2) –2 • –3 –4 The ordered pairs are –5 (1, 4), (−1, −2), (3, 2), and (−5, 0). Plot the points on a coordinate plane. Course 2 • (1, 4) 1 2 3 4 5
  • 9. 4-2 Tables and Graphs Check It Out: Example 2 Write and graph the ordered pairs from the table. x 2 −3 3 −2 y 3 −3 −2 4 y 5 (–2, 4) • 4 3 2 1 0 –5 –4 –3 –2 –1 –1 –2 (–3, –3) • –3 –4 The ordered pairs are –5 (2, 3), (−3, −3), (3, 2), and (−2, 4). Plot the points on a coordinate plane. Course 2 • (2, 3) x 1 2 3 4 5 • (3, –2)
  • 10. 4-2 Tables and Graphs Additional Example 3: Application Graph the data given in the table showing the number of pounds of food purchased and its cost. What appears to be the relationship between the number of pounds and the cost in the table below? Number of Pounds 1 2 3 4 Cost($) 1.85 3.70 5.55 7.40 Write the ordered pairs from the table. Number of Pounds 1 2 3 4 Cost($) 1.85 3.70 5.55 7.40 (x, y) (1, 1.85) (2, 3.70) (3, 5.55) (4, 7.40) Course 2
  • 11. 4-2 Tables and Graphs Additional Example 3 Continued The ordered pairs are (1, 1.85), (2, 3.70), (3, 5.55), and (4, 7.40). The graph shows that the cost is the number of pounds multiplied by 1.85. Course 2 10 8 Cost ($) Now plot the points on a coordinate plane. Label the axes. 6 4 2 0 0 2 4 Number of Pounds 6
  • 12. 4-2 Tables and Graphs Check It Out: Example 3 Graph the data in the table showing the number of days and its cost. What appears to be the relationship between the number of days and the cost shown in the table below? Number of Days 3 4 5 6 Cost($) 3.75 5.00 6.25 7.50 Write the ordered pairs from the table. Number of Days 3 4 5 6 Cost($) 3.75 5.00 6.25 7.50 (x, y) (3, 3.75) (4, 5.00) (5, 6.25) (6, 7.50) Course 2
  • 13. 4-2 Tables and Graphs Check It Out: Example 3 Continued The ordered pairs are (3, 3.75), (4, 5.00), (5, 6.25), and (6, 7.50). The graph shows that the cost is the number of days multiplied by 1.25. 8 7 6 Cost ($) Now plot the points on a coordinate plane. Label the axes. 5 4 3 2 1 0 2 3 4 5 Number of Days Course 2 6
  • 14. 4-2 Tables Lesson Title Here Insert and Graphs Lesson Quiz: Part I 1. Write and graph the ordered pairs from the table. y 10 x y 2 6 –10 10 –4 –4 –6 –8 (-10, 10) • 8 6 • (2, 6) 4 2 0 –10–8 –6 –4 –2 –2 (-4, -4) • –4 x 2 4 6 8 10 –6 (-6, -8) • –8 –10 The ordered pairs are (2, 6), (-10, 10), (-4, -4), and (-6, -8). Course 2
  • 15. 4-2 Tables Lesson Title Here Insert and Graphs Lesson Quiz: Part II 2. The table shows the number of hours a student studies for a test and scores. Graph the data to find the number of correct answers after studying for 6 hours. What appears to be the relationship between the number of hours of study and the score? Hours 1 2 3 4 Scores 15 30 45 60 90; the score is multiplied by 15. Course 2