The body mass index (BMI) is an indicator used to determine if a person is at a healthy weight. A normal BMI is in the interval 18.5 - 24.9. If w is a person’s weight (in pounds) and h is a person’s height (in inches), then the person’s BMI = 703w h2 . Use this formula to answer each question. Round to one decimal place. (See Objective 3.) 47. Carlos has a BMI of 39. If his height is 6 ft, determine his weight. 48. Kate has a BMI of 15. If her height is 5 ft, determine her weight. 49. Gretchen is striving for a BMI of 20. If she is 5 ft 3 in. tall, how much should she weigh? 50. Marcus is striving for a BMI of 25. If he is 6 ft 2 in. tall, how much should he weigh? Solve each formula for the specifi ed variable. (See Objective 4.) 51. Distance: d = rt for t 52. Area of rectangle: A = lw for l 53. Perimeter of rectangle: P = 2l + 2w for l 54. Area of triangle: A = 1 2 bh for h 55. Volume of cylinder: V = πr2h for h 56. Surface area of cylinder: S = 2πr2 + 2πrh for h 57. y = mx + b for m 58. y = mx + b for x 59. 4x + y = 8 for y 60. 5x + y = 10 for y 61. x - y = 3 for y 62. 2x - y=-6 for y 63. 8x + 3y = 9 for y 64. 6x + 5y = 30 for y 65. x - 7y=-14 for y 66. x - 4y=-4 for y Mix ’Em Up! Solve each problem. 67. Find the measure of an angle whose complement is 20° more than the angle. 68. Find the measure of an angle whose complement is 10° more than the angle. 69. What is the circumference and area of a circle that has a diameter of 60 units? 70. What is the circumference and area of a circle that has a diameter of 134 units? 71. How long will it take Christian’s account to earn $180 in simple interest if he invests $6000 at 6% interest compounded annually? 72. How long will it take Kiki’s account to earn $50 in simple interest if she invests $500 at 5% compounded annually? 73. If the perimeter of a rectangular park is 600 yd and the length of one side of the park is 200 yd, find the width of the other side of the park. 74. If the perimeter of a rectangular garden is 300 yd and the width of the garden is 50 yd, find the length of the garden. The diagram illustrates two vertical angles. Find the measure of each angle. 75. (20a + 19)° (12a + 43)° 76. (45a – 20)° (25a + 60)° 77. The average July high temperature in Death Valley, California, is 115°F. Convert this temperature to degrees Celsius. (Source: www.weather.com) 78. The average January high temperature in North Pole, Alaska, is -2°F. Convert this temperature to degrees Celsius. (Source: www.weather.com) 79. Find the length of the base of a triangle whose area is 49 square units and whose height is 14 units. 80. Find the length of the base of a triangle whose area is 100 square units and whose height is 32 units. 81. Michelle is striving for a BMI of 25. If she is 5 ft tall, how much should she weigh? 82. Sasha is striving for a BMI of 20. If her height is 5 ft 5 in., how much should she weigh? 83. Find the measure of an angle whose supplement is 21° more than twice the measure of the angle. 84. Find the measure of an angle whose supplement is 24˚ less than five times the measure of the angle. Solve each formula for the specifi ed variable. 85. B = 703w h2 for w 86. p = i s for s 87. F = s(1 + c)n for s 88. D = Pz - a for z 89. x=- b 2a for b 90. x=- b 2a for a 84 Chapter 2 Linear Equations and Inequalities in One Variable
hendricks_intermediate_algebra_1e_ch1_3
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