Name ——————————————————————— Date ———————————— Practice B LESSON 5.2 For use with pages 298–305 Write an equation of the line that passes through the given point and has slope m. 1. (21, 6); m 5 5 2. (10, 3); m 5 22 3. (2, 23); m 5 7 4. (24, 29); m 5 2 1 5. (5, 24); m 5 } 3 3 6. (28, 1); m 5 2} 4 Write an equation of the line shown. 7. 8. y 5 23 21 21 (24, 7) y 7 3 (22, 2) 3 1 9. y (0, 5) (2, 4) 1 (1, 1) 1 3 25 21 21 1 3 x 1 x 23 23 (24, 24) 21 21 1 3 x Write an equation of the line that passes through the given points. 10. (210, 7), (5, 23) 11. (25, 23), (12, 17.4) 12. (28, 84), (5, 246) Write an equation for the linear function f with the given values. 13. f (4) 5 28, f(23) 5 1 14. f (6) 5 24, f(9) 5 29 15. f (21) 5 26, f(4) 5 214 Copyright © Holt McDougal. All rights reserved. after the shop opens. Two hours after you start, a total of 11 cars have had their oil changed since the shop opened. Three hours later, a total of 14 cars have had their oil changed. At what rate are cars getting their oil changed since you started working? How many cars had their oil changed before you started work? LESSON 5.2 16. Oil Changes You are scheduled to start your job at an oil change shop 2 hours 17. Motor Vehicle Licenses The amount of revenue brought in by states from motor vehicle licenses increased at a relatively constant rate of 499.79 million dollars per year from 1990 to 2000. In 2000, the states brought in 15,099 million dollars in revenue from motor vehicle licenses. a. What was the approximate revenue (in million dollars) from licenses in 1990? b. Write an equation that gives the revenue (in million dollars) as a function of the number of years since 1990. c. Find the revenue from licenses in 1999. 18. Imports The number of metric tons of fruits, nuts, and vegetables imported into the United States increased at a relatively constant rate of 437.5 thousand metric tons per year from 1990 to 2002. In 2002, about 9900.5 thousand metric tons of fruits, nuts, and vegetables were imported. Write an equation that gives the number of thousand metric tons imported as a function of the number of years since 1990. Find the year in which the number of metric tons reached 8000 thousand metric tons. Algebra 1 Chapter 5 Resource Book 279 Answers Lesson 5.1 4 14. f (x) 5 0.6x 2 2 15. f (x) 5 } x 2 2 3 Practice Level A 1 16. f (x) 5 x 2 6 17. f (x) 5 } x 4 1. y 5 3x 1 8 2. y 5 11x 1 2 6. y 5 23x 1 4 7. y 5 3x 2 2 1 12. y 5 5x 2 2 13. f(x) 5 } x 1 2 2 number of flyers made, the domain of the first function is 0 < x < 1000 and the domain of the second function is x > 1000. d. about 777 flyers; about 1166 flyers; Order 1166 flyers since you get more for the same amount of money. 14. f(x) 5 4x 1 3 15. f(x) 5 1x 2 8 Review for Mastery 8. y 5 24x 1 1 9. y 5 5x 1 4 10. y 5 3x 1 5 11. y 5 22x 1 1 16. a. y 5 8x 1 12 b. $52 17. a. y 5 6x 1 20 b. independent: x, number of weeks; dependent: y, total number of miles run each week c. 68 mi Practice Level B 1. y 5 7x 1 4 2. y 5 23x 1 5 3. y 5 x 2 6 3 4. y 5 25x 1 5 5. y 5 2x 2 5 6. y 5 } x 1 3 4 3 7. y 5 22x 2 2 8. y 5 } x 1 4 2 3 9. y 5 2} x 1 8 10. y 5 2x 2 7 4 11. y 5 25x 2 3 12. y 5 4x 2 5 1 13. f(x) 5 23x 2 1 14. f(x) 5 2} x 1 3 2 3 15. f(x) 5 } x 1 4 2 16. a. y 5 23x 1 30 b. independent: x, number Copyright © Holt McDougal. All rights reserved. 18. y 5 2x 1 5; 53 laps 19. a. y 5 0.45x 1 50 b. y 5 0.3x 1 50 c. Because x represents the of cubic yards ordered; dependent: y, total cost c. $214 17. a. y 5 16x 1 44 b. independent: x, number of premium channels; dependent: y, total cost c. Substitute 80 for y in the equation and solve for x. 1 18. a. 0.75 min b. y 5 } x 1 0.75 c. about 6 9 min Practice Level C 3 1 1 1. y 5 28x 2. y 5 } x 2 3 3. y 5 2} x 1 } 5 4 2 2 4. y 5 24x 2 2 5. y 5 } x 1 1 3 6. y 5 21.5x 1 5 7. y 5 2.5x 2 1 4 4 8. y 5 } x 2 4 9. y 5 } x 2 8 7 3 2 10. f(x) 5 2} x 1 6 11. f(x) 5 28x 1 5 3 1 12. f(x) 5 2} x 2 4 13. f(x) 5 22.5x 1 3 3 ANSWERS 3. y 5 24x 1 5 4. y 5 2x 1 3 5. y 5 x 1 4 2 1. y 5 7x 2 11 2. y 5 } x 1 5 3 7 9 1 3. y 5 2} x 2 2 4. y 5 } 2 1 5. y 5 2} x 1 8 5 5 2 6. y 5 x 2 14 7. y 5 22x 1 21 8. y 5 26x 1 6 Challenge Practice 1. 0.26; for every year that passes there is an increase of 260,000 homes owning dogs in the US. 2. y 5 0.26t 1 27 3. 30.64 million households 4. 43.90 million households 5. y 5 22000t 1 20,000 6. $10,000 7. 2015 Lesson 5.2 Practice Level A 1. y 5 3x 1 8 2. y 5 4x 2 19 3. y 5 2x 1 11 5 1 4. y 5 9x 2 55 5. y 5 } x 1 } 2 2 6. y 5 24x 1 34 7. y 5 3x 1 8. y 5 2x 1 2 9. y 5 } x 2 3 2 5 10. y 5 22x 1 4 11. y 5 } x 1 3 2 12. y 5 3x 2 1 13. y 5 25x 14. y 5 x 1 7 3 15. y 5 2} x 1 1 16. f (x) 5 4x 2 21 4 3 17. f (x) 5 24x 1 2 18. f (x) 5 } x 2 2 2 19. y 5 15x 1 18; $153 20. a. y 5 1.5x b. 18 dozen c. 216 cookies Practice Level B 1. y 5 5x 1 11 2. y 5 22x 1 23 3. y 5 7x 2 17 4. y 5 2x 2 1 3 17 1 5. y 5 } x 2 } 6. y 5 2} x 2 5 4 3 3 Algebra 1 Chapter 5 Resource Book A45 Lesson 5.2, continued 7. y 5 24x 1 5 8. y 5 3x 1 8 1 2 1 9. y 5 2} x 1 5 10. y 5 2} x 1 } 2 3 3 ANSWERS 11. y 5 1.2x 1 3 12. y 5 210x 1 4 5 9 20 13. f(x) 5 2} x 2 } 14. f (x) 5 2} x 1 6 3 7 7 8 38 15. f(x) 5 2} x 2 } 5 5 Review for Mastery 1 1. y 5 4x 2 26 2. y 5 2 } x 1 18 3 1 1 3. y 5 } x 1 5 } 4. y 5 4x 1 17 2 2 1 5. f (x) 5 } x 2 5 6. f (x) 5 2x 1 12 2 Challenge Practice 16. 1 car per hour; 9 cars 17. a. 10,101.1 million dollars b. y 5 499.79x 1 10,101.1 c. 14,599.21 million dollars 18. y 5 437.5x 1 4650.5; between 1997 and 1998 Practice Level C 1. y 5 8x 1 38 2. y 5 0.5x 2 5.25 5 3. y 5 2} x 1 4 4. y 5 5x 1 0.5 6 3 4 5. y 5 2} x 1 1 6. y 5 } x 2 2 5 3 62 2 7. f(x) 5 21.6x 1 1 8. f(x) 5 } x 2 } 7 7 9. f(x) 5 0.625x 1 5.75 10. f(x) 5 4x 2 6 11. f(x) 5 2.5x 2 3.1 12. f(x) 5 23.32x 2 3.28 1. 2 2 3a 2. 2 2 ab 3. c 2 ab 4. 2 5. 5 5 2 22 6. 4 7. } 8. 2 9. y 5 2} x 1 } 10. y 5 23 2 3 3 16 11. y 5 2x 1 } 12. y 5 x 2 2 3 Lesson 5.3 Practice Level A 9 7 3 1 1. } 2. } 3. } 4. } 5. 1 6. 0 5 2 9 8 7. y 2 2 5 5(x 2 2) 8. y 2 3 5 21(x 2 7) 9. y 1 4 5 3x 10. y 2 7 5 4(x 1 1) 11. y 1 5 5 6(x 1 8) 12. y 1 9 5 2(x 2 4) 13. 14. y y 7 3 13. no; The slope of the line between (3, 7) and (22, 28) is 3 and the slope of the line between 11 23 (22, 28) and (7, 219) is 2} . 14. yes; The 9 0 2 4 6 8 10 12 14 16 Years since 1987 c. before 2002 3 3 x 1 1 23 15. 23 16. y y 3 6 1 23 2 2 22 22 17. Algebra 1 Chapter 5 Resource Book 1 21 21 3 x 3 x x 6 18. y y 3 3 1 21 21 1 3 x 23 23 23 19. 21 21 20. y y 1 21 21 23 1 3 5 x 1 23 21 21 23 A46 3 x 1 21 1 3 x Copyright © Holt McDougal. All rights reserved. Farmland (millions of acres) slopes between all pairs of points are the same. y 5 22x 1 7 15. First find the equation of the line passing through (3, 16) and (22, 214). The line is given by y 5 6x 2 2. Find the value of h by substituting 28 for y and solving for x. h 5 5 16. about 2.7 cars per hour; 39 cars 17. y 5 2.7x 1 6.3; The slope, 2.7, represents the cost (in dollars) per line over 3 lines. The y-intercept, 6.3, represents the cost of the first three lines. 18. a. y 5 23.27x 1 964.5 b. The slope represents Farm Acreage y the amount of 970 decrease in the 960 number of farms 950 940 each year. The 930 y-intercept represents 920 910 the number of farms 900 in 1987. 0 x 21