44 Chapter 1 The Set of Real Numbers 342 16 42 84 37 18 32 4 118 14 2 5 3 192 12 24 156 48 13 3 3 150 7 52 24 80 16 2 162 02 0 2 25 yd 2 yd 20 yd A lw, l 79. The area of a trapezoid is given by A b1 b2 12 where and are the 1b1 b22h, lengths of the two parallel sides and h is the height. A window is in the shape of a trapezoid. Find the area of the trapezoid with dimensions shown in the figure. b2 6 ft h 3 ft b1 8 ft 80. The volume of a rectangular solid is given by V lwh, l where is the length of the box, w is the width, and h is the height. Find the volume of the box shown in the figure. 160 ft 360 ft 67. 68. 69. 70. 71. 72. 73. 74. 75. A person’s debt-to-income ratio is the sum of all monthly installment payments (credit cards, loans, etc.) divided by monthly take-home pay.This number is often considered when one is applying for a loan. Each month, Monica makes credit card payments of $52 and $20, a student loan payment of $65, and a payment for furniture of $43. Her monthly take-home pay is $1500. a. Determine Monica’s debt-to-income ratio. b. To obtain a car loan, Monica’s debt-to-income ratio must be less than 0.20. Does she meet this criteria? 76. Each month, Jared makes credit card payments of $115, $63, and $95. He also makes a student loan payment of $77 and another loan payment of $100. His monthly take-home pay is $2000. a. Use the definition given in Exercise 75 to determine Jared’s debt-to-income ratio. b. To obtain a loan for a new home theater system his debt-to-income ratio must be less than 0.15. Does he meet this criteria? 77. The area of a rectangle is given by where is the length of the rectangle and w is the width. Find the area for the rectangle shown. 78. The perimeter of a rectangle is given by . Find the perimeter for the rectangle shown. P 2l 2w 517 32 816 42 437 312 9 82 4 15 513 2 42 10 214 5 162 16 8 4 4 8 4 2 7 318 22 17 3218 22 Concept 4: Translations For Exercises 81–92, write each English phrase as an algebraic expression. (See Example 6.) 81. The product of 3 and x 82. The sum of b and 6 83. The quotient of x and 7 84. Four divided by k 85. The difference of 2 and a 86. Three subtracted from t 87. x more than twice y 88. Nine decreased by the 89. Four times the sum of x and 12 product of 3 and p 90. Twice the difference of x and 3 91. Q less than 3 92. Fourteen less than t
miller_beginning_intermediate_algebra_4e_ch1_3
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