23. 24. 25. 26. (2x)° Concept 2: Literal Equations (10x)° d rt. I Prt I Prt F ma F ma For Exercises 31–48, solve for the indicated variable. (See Example 4.) 31. 32. 33. d rt C1 I Prt for P 52 A lw for l R for R a b c P for b W K2 K1 for K1 y mx b for x 34. 35. 36. F 1F 322 for F 95 C mv2 for v2 59 C 32 for C 37. 38. 39. K 12 I Prt for r v v0 at for a a2 b2 c2 for b2 40. 41. 42. w p1v2 v1 A lw for w ax by c for y 2 for v2 43. 44. 45. 1 3 P 2L 2W for L Bh for B V pr 2h for h 46. 47. 48. V 1 3 Ax By C to y mx b. In Chapter 2 it will be necessary to change equations from the form For Exercises 49–60, express each equation in the form y mx b by solving for y. (See Example 5.) 49. 3x y 6 50. x y 4 51. 5x 4y 20 52. 4x 5y 25 53. 6x 2y 13 54. 5x 7y 15 (x 2)° 3(x 7)° 4(x 8)° (2x 4)° (x 2)° (20x 4)° (5x 1)° (x 35)° Section 1.3 Applications to Geometry and Literal Equations 75 27. In 2010, Dario Franchitti won the Indianapolis 500 car race in 3 hr 5 min 37 sec ( 3.094 hr). (See Example 3.) a. The relationship among the variables distance, rate, and time is given by Solve for r. b. Determine Franchitti’s average rate of speed if the total distance for the race is 500 mi. Round to one decimal place. 28. In 2011,Trevor Bayne won the 53rd running of the Daytona 500 car race with an average speed of 130.326 mph. a. Solve the formula for t. b. Determine Bayne’s total time of the race if the race is 500 mi long. Round to one decimal place. 29. The amount of simple interest earned or borrowed is the product of the principal, the annual interest rate, and the time invested (in years).This is given by . a. Solve for t. b. Determine the amount of time necessary for the interest on $5000 invested at 4% to reach $1400. 30. The force of an object is equal to its mass times the acceleration,or . a. Solve for m. b. The force on an object is 24.5 N (newtons), and the acceleration is 9.8 m/sec2. Find the mass of the object (the answer will be in kilograms).
miller_intermediate_algebra_4e_ch1_3
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