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Focus Lesson

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4-2 Tables and Graphs

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**How do you identify ordered pairs from a table of values?**

Essential Question How do you identify ordered pairs from a table of values?

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**Discovery School- Coordinate Planes X and Y Mark the Spot**

Write down 3 facts from the video clip. 1. 2. 3.

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**Example 1 Write the ordered pairs from the table.**

y -2 -1 4 7 9 5 -3 (x, y) (-2, -1) (4, 7) (0, 9) (5, -3) (-2, -1), (4, 7), (0, 9), and (5, -3).

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**Example 2 Write the ordered pairs from the table.**

y 3 -4 2 -8 8 -1 (x, y) (3, -4) (2, -8) (8, 3) (-1, 0) (3, -4), (2, -8), (8, 3), and (-1, 0).

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**Example 3 Write and graph the ordered pairs from the table.**

y –2 2 –4 4 –1 –3 –5 5 3 1 x y 1 4 -1 -2 3 2 -5 • (1, 4) • (3, 2) (–5, 0) • (–1, –2) • (1, 4), (-1, -2), (3, 2), and (-5, 0). Plot the points on a coordinate plane.

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**Example 4 Write and graph the ordered pairs from the table.**

y –2 2 –4 4 –1 –3 –5 5 3 1 x y 2 3 -3 -2 4 (–2, 4) • • (2, 3) • (3, –2) (–3, –3) • (2, 3), (-3, -3), (3, 2), and (-2, 4). Plot the points on a coordinate plane.

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**Steps for Word Problems**

1. Pick out what the question is asking. 2. Write the ordered pairs 3. Graph the ordered pairs 4. Answer the questions

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Example 5 Graph the data given in the table showing the number of pounds of food purchased and its cost. 1. 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 2. Write the ordered pairs from the table. (x, y) (1, 1.85) (2, 3.70) (3, 5.55) (4, 7.40) (1, 1.85), (2, 3.70), (3, 5.55), and (4, 7.40).

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Cost ($) Number of Pounds The graph shows that the cost is the number of pounds multiplied by 1.85.

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Practice (1, 1); (2, 1); (3,1); (4,1) (8, 4); (10, 5); (12, 6); (14, 7) (-2, 0); (-1, 9); (0, 18); (1, 27)

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**Practice (-5, 4 ) • (-3, 2 ) • (4, 1 ) • (3, 0 ) • (-1, 0 ) •**

x y –2 2 –4 4 –1 –3 –5 5 3 1 x y –2 2 –4 4 –1 –3 –5 5 3 1 (-5, 4 ) • (-3, 2 ) • (4, 1 ) • (3, 0 ) • (-1, 0 ) • (2, -1) • (1, -2) • (1 ,-2 ) •

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**The graph shows that the number of drinks is multiplied by a $1.50.**

Practice Number of Drinks Cost (1, 1.50); (2, 3.00); (3, 4.50); (4, 6.00) The graph shows that the number of drinks is multiplied by a $1.50.

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Graded Practice

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Homework Workbook Page All problems

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

Closing 1. Write and graph the ordered pairs from the table. (-10, 10) • x y –4 4 –8 8 –2 –6 –10 10 6 2 x y 2 6 –10 10 –4 –6 –8 • (2, 6) (-4, -4) • (-6, -8) • The ordered pairs are (2, 6), (-10, 10), (-4, -4), and (-6, -8).

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**Hours 1 2 3 4 Scores 15 30 45 60 Closing cont…**

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.

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