4-2 Tables and Graphs

Course 2

Problem of the DayProblem of the Day

Lesson PresentationLesson Presentation

Warm UpWarm Up

Warm UpIdentify the quadrant that contains each point.

1. (6, –4)

2. (5, 7)

3. (–3, –3)

4. (–1, 10)

lV

l

lll

Course 2

4-2 Tables and Graphs

ll

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

Write the ordered pairs from the table.

The ordered pairs are (2, 1), (4, 7), (0, 9), and (5, 3).

Additional Example 1: Identifying Ordered Pairs from a Table of Values

Course 2

4-2 Tables and Graphs

x y

2 14 7

0 9

5 3

(x, y)

(2, 1)

(4, 7)

(0, 9)

(5, 3)

Write the ordered pairs from the table.

The ordered pairs are (3, 4), (2, 8), (8, 3), and (1, 0).

Check It Out: Example 1

Course 2

4-2 Tables and Graphs

x y

3 42 88 3

1 0

(x, y)

(3, 4)

(2, 8)

(8, 3)

(1, 0)

Write and graph the ordered pairs from the table.

The ordered pairs are (1, 4), (1, 2), (3, 2), and (5, 0).

Additional Example 2: Graphing Ordered Pairs from a Table of Values

Course 2

4-2 Tables and Graphs

x

y

–2

–2

2

2–4

–4

4

4

–1–3–5 531

1

3

5

0

–3

–5

–1

x y

1 4

1 23 2

5 0

• (1, 4)

(–1, –2) •

• (3, 2)(–5, 0)

•

Plot the points on a coordinate plane.

Write and graph the ordered pairs from the table.

The ordered pairs are (2, 3), (3, 3), (3, 2), and (2, 4).

Check It Out: Example 2

Course 2

4-2 Tables and Graphs

x

y

–2

–2

2

2–4

–4

4

4

–1–3–5 531

1

3

5

0

–3

–5

–1

x y

2 3

3 33 22 4

• (2, 3)

(–3, –3) • • (3, –2)

(–2, 4) •

Plot the points on a coordinate plane.

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?

Additional Example 3: Application

Course 2

4-2 Tables and Graphs

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)

The ordered pairs are (1, 1.85), (2, 3.70), (3, 5.55), and (4, 7.40).

Additional Example 3 Continued

Course 2

4-2 Tables and Graphs

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

0

2

4

6

8

10

0 2 4 6

Number of Pounds

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

Cost

($)

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?

Check It Out: Example 3

Course 2

4-2 Tables and Graphs

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)

The ordered pairs are (3, 3.75), (4, 5.00), (5, 6.25), and (6, 7.50).

Check It Out: Example 3 Continued

Course 2

4-2 Tables and Graphs

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

0

1

2

3

4

5

6

7

8

2 3 4 5 6

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

Number of Days

Cost

($)

Lesson Quiz: Part I

Insert Lesson Title Here

1. Write and graph the ordered pairs from the table.

Course 2

4-2 Tables and Graphs

x y

2 6

–10 10

–4 –4

–6 –8

x

y

–4

–4

4

4–8

–8

8

8

–2–6–10 1062

2

6

10

0

–6

–10

–2

• (2, 6)

(-10, 10) •

(-4, -4) •

(-6, -8) •

The ordered pairs are (2, 6), (-10, 10), (-4, -4), and (-6, -8).

Lesson Quiz: Part II

Insert Lesson Title Here

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?

Course 2

4-2 Tables and Graphs

90; the score is multiplied by 15.

Hours 1 2 3 4

Scores 15 30 45 60