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Course Equations, Tables, and Graphs 3-5 Equations, Tables, and Graphs Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

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Course Equations, Tables, and Graphs Warm Up For each function, find the value of y for x = 0, x = 4, and x = –5. 1. y = 6x – 3 2. y = 3.8x – y = 1.6x –3, 21, –33 –12, 3.2, –31 5.9, 12.3, –2.1

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Course Equations, Tables, and Graphs Problem of the Day You buy two fruit baskets. Each basket contains three bunches of bananas. Each bunch contains five bananas. How many bananas do you have? 30

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Course Equations, Tables, and Graphs Learn to generate different representations of the same data.

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Course Equations, Tables, and Graphs An equation shows how the variables are related. Additional Example 1: Using Equations to Generate Different Representations of Data The height h of an airplane s seconds from take-off is h = 12s. Make a table and sketch a graph of the equation. Equation h = 12s The number of seconds s is the input value. The depth d is the output value. Helpful Hint

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Course Equations, Tables, and Graphs A table identifies values that make the function true. Additional Example 1 Continued sh Table h s A graph is a visual image of the values in the table. Graph

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Course Equations, Tables, and Graphs An equation shows how the variables are related. Check It Out: Example 1 The height h of a helicopter s seconds from take-off is h = 15s. Make a table and sketch a graph of the equation. Equation h = 15s

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Course Equations, Tables, and Graphs A table identifies values that make the function true. Check It Out: Example 1 Continued sh Table h s A graph is a visual image of the values in the table. Graph

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Course Equations, Tables, and Graphs Use the table to make a graph and to write an equation. Additional Example 2: Using Tables to Generate Different Representations of Data Look for a pattern in the values: xy 0– Each value of y is the value of x minus 1. 0 = 1 – 1 1 = 2 – 1 2 = 3 – 1

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Course Equations, Tables, and Graphs Use the table to make a graph and to write an equation. Additional Example 2 Continued xy 0– x y 0 –2 – –2 –4 y = x – 1

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Course Equations, Tables, and Graphs Use the table to make a graph and to write an equation. Check It Out: Example 2 Look for a pattern in the values: xy Each value of y is the value of x plus 3. 4 = = = 3 + 3

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Course Equations, Tables, and Graphs Use the table to make a graph and to write an equation. Check It Out: Example 2 Continued xy y = x + 3

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Course Equations, Tables, and Graphs Additional Example 3: Using Graphs to Generate Different Representations of Data Use the graph to make a table and to write an equation. t d 0 –4 – –4 –8 Look for a pattern in the values: 4 = = =

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Course Equations, Tables, and Graphs Additional Example 3 Continued Use the graph to make a table and to write an equation. td Each value of d is 2 times the value of t plus 2. d = 2t + 2

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Course Equations, Tables, and Graphs Check It Out: Example 3 Use the graph to make a table and to write an equation. t d 0 –2 – –8 Look for a pattern in the values: 2 = 3 1 – 1 5 = 3 2 – 1 8 = 3 3 – 1

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Course Equations, Tables, and Graphs Check It Out: Example 3 Continued Use the graph to make a table and to write an equation. td 0– Each value of d is 3 times the value of t minus 1. d = 3t – 1

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Course Equations, Tables, and Graphs 1. Make a table and sketch the graph of w = –2x + 3. Lesson Quiz: Part I xw x w 0 –2 – –2 –4

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Course Equations, Tables, and Graphs 2. Use the table to sketch a graph and write an equation. Lesson Quiz: Part II xy x y 0 –2 – –2 –4 y = –x

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Course Equations, Tables, and Graphs 3. Use the graph to make a table and to write an equation. Lesson Quiz: Part III xy –1–3 y = 4x + 1

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