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Name ——————————————————————— Lesson 3.3 Date ———————————— Practice B For use with the lesson “Graph Using Intercepts” Find the x-intercept and the y-intercept of the graph of the equation. 1. x 1 y 5 1 2. x 2 y 5 25 3. 6x 2 3y 5 23 4. 5x 1 10y 5 30 5. 9y 2 5x 5 20 6. 8x 2 2y 5 16 7. 7x 1 8y 5 18 8. 2y 2 12x 5 26 9. 2x 2 0.5y 5 8 Draw the line that has the given intercepts. 10. x-intercept: 5 y-intercept: 4 y-intercept: 6 y 6 y-intercept: 23 y y 2 2 22 22 12. x-intercept: 2 11. x-intercept: 21 x 6 26 6 1 2 21 21 6 x 2 22 22 1 3 x 23 26 Graph the equation. Label the points where the line crosses the axes. 14. y 5 6 1 3x 1 25 23 21 21 y 26 16. y 5 1 2 3x 6 x 2 22 22 y 3 x 6 x 18. 3y 1 2x 5 25 3 2 1 2 22 22 210 y 22 22 y 26 17. 7x 2 7y 5 42 1 21 21 26 2 25 23 2 6 23 3 y 10 1 x 15. y 5 8x 2 7 2 6 y 1 x 23 21 21 1 3 x 26 23 Lesson 3.3 Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved. 13. y 5 2x 2 4 23 Algebra 1 Chapter Resource Book CS10_CC_A1_MECR710723_C3L03PB.indd 35 3-35 5/10/11 2:58:36 AM Name ——————————————————————— Date ———————————— Practice B Lesson continued For use with the lesson “Graph Using Intercepts” 3.3 19. 4x 2 9y 5 16 3 20. y 5 0.5x 2 2 y 3 1 21 21 21. y 5 3x 1 0.2 y y 1 1 1 3 5 x 21 21 1 3 5 x 1 21 x 21 23 23 Match the equation with its intercepts. A. x-intercept: 4 y-intercept: 27 23. 7x 5 4y 1 28 24. 4y 5 7x 1 28 C. x-intercept: 7 B. x-intercept: 24 y-intercept: 7 y-intercept: 4 Length (inches) 25. Rabbit Hutch The bottom of a rabbit cage is a rectangle with a perimeter of 118 inches. Let x be the cage’s width (in inches) and let y be its length (in inches). a. Write an equation for the perimeter. b. Find the intercepts of the graph of the equation you wrote. y 60 48 36 24 12 0 Then graph the equation. 0 12 24 36 48 60 x Width (inches) show costs $7 per person during the week and $9 per person on the weekend. During one week of the show, a total of $142,506 was paid in admissions. This situation can be represented by the equation 7x 1 9y 5 142,506 where x is the number of tickets sold during the week and y is the number of tickets sold on the weekend. a. Find the intercepts of the graph of the equation. Weekend sales 26. Home and Garden Show Admission to a home and garden y 15,000 12,500 10,000 7,500 5,000 2,500 0 Graph the equation. b. Give three possibilities for the number of each kind of ticket that could have been sold for the week. Graph the equation. b. What do the intercepts mean in this situation? c. What are three possible numbers of minutes of biking and skating the man could do to reach his goal? 3-36 Minutes in-line sklating Lesson 3.3 a. Find the intercepts of the graph of the equation. 7,500 15,000 Weekday sales 27. Burning Calories A man burns 10 calories per minute mountain biking and 7.5 calories per minute in-line skating. His goal is to burn approximately 420 calories daily. This situation can be represented by the equation 10x 1 7.5y 5 420 where x is the number of minutes spent mountain biking and y is the number of minutes spent in-line skating. 0 y 56 49 42 35 28 21 14 7 0 x Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved. 22. 7y 5 28 2 4x 0 7 14 21 28 35 42 x Minutes mountain biking Algebra 1 Chapter Resource Book CS10_CC_A1_MECR710723_C3L03PB.indd 36 5/10/11 2:58:37 AM Lesson 3.3 Graph Using Intercepts, continued 18. 0 4 8 12 16 20 24 x 1 21 21 23 c. 21 tickets (4, 0) 5 x b. x: 59; y: 59 0 20 40 60 80 x 1 , 15 0 ( 1 (0, 0.2) 21 1 x y 2 6 (5, 0) 2 22 22 x (0, 6) (21, 0) 26 6 x 26 y 12. 1 1 14. x 6 25 15. y 2 26 (0, 6) 26 2 22 17. y (0, 1) 21 21 ( , 0( 1 3 1 23 22 22 y 56 49 42 35 28 21 14 7 0 0 7 14 21 28 35 42 x b. The x-intercept is the number of calories burnt when the man only mountain bikes and the y-intercept is the number of calories burnt when the man only in-line skates. c. Answers will vary. Practice C y 2 3 x 6 x (0, 27) 6 x x Minutes mountain biking 0 2 22 22 2 16. ( ( 7 , 8 15,000 b. Answers will vary. (0, 24) y 7,500 Weekday sales 1 x 21 21 (0, 23) 10 (22, 0) 3 25 0 27. a. x: 42; y: 56 y 1 (24, 0) (2, 0) 21 21 23 13. y 15,000 12,500 10,000 7,500 5,000 2,500 0 2 22 26. a. x: 20,358; y: 15,834 Minutes in-line sklating 11. y (0, 4) 0 12 24 36 48 60 x Width (inches) Weekend sales 18 9 7. x: }; y: } 7 4 6 y 60 48 36 24 12 0 1 2. x: 25; y: 5 3. x: 2}; y: 1 2 20 5. x: 24; y: } 6. x: 2; y: 28 9 1 8. x: }; y: 23 9. x: 4; y: 216 2 4. x: 6; y: 3 A26 (2 25. a. 2x 1 2y 5 118 1. x: 1; y: 1 23 y 22. C 23. A 24. B Practice B 26 16 9 (0, 22) Advance tickets 10. (0, 2 ( 21. y Length (inches) Tickets at the door 23 5 x 2 (6, 0) (0, 26) 6 x 9 1. x: 4; y: 3 2. x: 25; y: 7 3. x: }; y: 22 2 Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved. Senior members answers 3 1 35. a. x: 80; y: 60 y 80 60 40 20 0 (0, 2 ( (4, 0) 1 21 21 23 Junior members b. x 5 3 3 20. y 3 1 5 2 23 y 24 20 16 12 8 4 0 19. y (2 , 0( 34. a. x 1 y 5 24 b. x: 24; y: 24 c. 3 15 1 4. x: 22; y: 2} 5. x: 22; y: 3 6. x: }; y: 215 7 4 Algebra 1 Chapter Resource Book CS10_CC_A1_MECR710723_C3AK.indd 26 5/21/11 1:56:56 AM