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NAME: CLASS PERIOD: Representing Proportional Relationships Practice and Problem Solving: A/B Use the table to complete Exercises 1–3. Feet 1 3 Inches 4 6 24 60 1. The table shows the relationship between lengths in feet and lengths in inches. Complete the table. 2. Write each pair as a ratio. inches feet 1 24 3 4 60 6 Each ratio is equal to _________________. 3. Let x represent feet. Let y represent inches. An equation that describes the relationship is ___________________________. Use the table to complete Exercises 4 and 5. Tell whether each relationship is proportional. If it is proportional, write an equation that describes the relationship. First define your variables. Lemonade Recipe Lemons 1 2 3 4 5 6 Sugar (c) 1.5 3 4.5 6 7.5 9 Water (c) 7 14 21 28 35 42 4. the ratio of lemons to cups of sugar ________________________________________________________________________________________ 5. the ratio of cups of sugar to cups of water ________________________________________________________________________________________ Use the table to complete Exercise 6. Distance Traveled Daily on a Family Road Trip Hours Distance (mi) 6 4.5 9 2 3.25 5.75 270 229.5 495 60 188.5 281.75 6. Is the relationship shown in the table below proportional? If so, what is the ratio of the hours driven to miles traveled? _____________________________________________________________________ ___________________ NAME: CLASS PERIOD: UNIT 2: Proportional and Nonproportional Relationships and Functions MODULE 3 Proportional Relationships LESSON 3-1 Practice and Problem Solving: A/B 1. Feet 1 2 3 4 5 6 Inches 12 24 36 48 60 72 2. 12; 2; 36; 48; 5; 72; 12 or 12 1 y or y 12 x 12 4. yes; let x lemons and y sugar; y 1.5x or let x sugar and y lemons; x y 1.5 3. x 5. yes; let x sugar and y water; 2 y 4 x or y 4.7x, or let x water 3 3 x x or y and y sugar; y 14 4.7 6. not a proportional relationship Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 325