56 Chapter 1 The Set of Real Numbers 10. 105.8 11. 12. 1 8 1.1 t s when t 93.2, s 11.5 x y z when x 78 , y 12 , z 14 1 80 abc when a 1 10, b 14 , c 12 13. The cost of downloading songs from a music website can be represented by the expression 1.29s, where s is the number of songs downloaded. Calculate the cost of downloading a. 3 songs $3.87 b. 8 songs $10.32 c. 10 songs $12.90 14. The number of calories burned by a 150-lb person by walking 2 mph can be represented by the expression 240 h, where h represents the number of hours spent walking. Calculate the number of calories burned by walking a. 4 hr 960 calories b. hr 600 calories c. hr 300 calories 14 1 12 2 15. Aly is trying to limit her calorie intake for breakfast and lunch to 850 calories.The number of calories that she can consume for lunch is given by the expression 850 b, where b is the number of calories consumed for breakfast. Determine the number of calories allowed for lunch assuming that she had the following number of calories at breakfast. a. 475 calories 375 calories b. 220 calories 630 calories c. 580 calories 270 calories 16. Lorenzo knows that the gas mileage on his small SUV is about 25 miles per gallon.The number of gallons d 25, needed to travel a certain distance is given by the expression where d is the distance traveled. Find the number of gallons of fuel needed if Lorenzo drives a. 200 mi 8 gal b. 450 mi 18 gal c. 180 mi 7.2 gal Concept 2: The Set of Real Numbers 17. Plot the numbers on a real number line: (See Example 3.) 2 2 0 1 5.1 2 1 0 1 2 3 4 5 6 5 6 5 4 3 18. Plot the numbers on a real number line: 51, 2, p, 0, 52 53, 4, 18 , 5.16 , 1.7, 43, 1.756 4 1.7 43 1 8 1.75 3 2 1 0 1 2 3 4 5 6 6 5 4 3 For Exercises 19–34, describe each number as (a) a terminating decimal, (b) a repeating decimal, or (c) a nonterminating, nonrepeating decimal. Then classify the number as a rational number or as an irrational number. (See Example 4.) 1 9 19. 0.29 a; rational 20. 3.8 a; rational 21. 22. 1 5 1 8 b; rational 23. 24. 25. 26. b; rational 1 3 a; rational 2p c; irrational 3p c; irrational a; rational 27. 28. 29. 30. 0.125 a; rational 3.24 a; rational 3 a; rational 6 a; rational 31. 0.2 b; rational 32. 0.6 b; rational 33. 16 c; irrational 34. 110 c; irrational Writing Translating Expression Geometry Scientific Calculator Video
miller_introductory_algebra_3e_ch1_3
To see the actual publication please follow the link above