Solving Equations and Inequalities. Directions: Answer the following questions. For multiple-choice questions, choose the best answer. 40. Miguel says that every international phone call to his sister in Europe has cost at least $4.50, with international rates costing $0.65 to make the connection and $0.35 per minute. Which inequality represents the number of minutes m that Miguel talks to his sister for each call? A. m ≥ 11 B. m ≥ 12 C. m ≥ 14 D. m ≥ 15 41. To which of the following inequalities is the number 11 a solution? A. 3x – 5 < 2(2 – x) B. 7x – 3 ≥ 7 – 3x C. 5(x – 2) ≤ 3(x + 1) D. 4(x – 8) > 2x + 5 42. Solve ax + by = c for y. 43. As a goodwill gesture, Florence is giving $5 to each person who participates in a public cleanup program. She started with $400. After two hours, she had already given away $135. Which inequality represents the number of people she can still give $5 to? A. p ≤ 51 B. p ≤ 52 C. p ≤ 53 D. p ≤ 54 45. Solve 2x – 4(x + 3) ≥ 4 + 3(4 – 3x). A. x ≤ 4 B. x ≥ 4 C. x ≥ 3 D. x ≥ 4/7 46. Amy makes a gas stop at a station where gas is selling at $3.15 per gallon, including taxes. While there, she buys a bottle of water for $1.65. Her total is $40.71. If Amy bought g gallons of gas, which equation models Amy’s purchase? A. 1.64g + 3.15 = 40.7147 B. 1.65g + 40.71 = 3.15 C. 3.15g + 1.65 = 40.71 D. 3.15g + 40.71 = 1.65. 47. Randy earns $5 for every order he fills at a call-in center, plus base pay of $150 per week. During a week in which he earns $580, how many orders does he fill? A. 86 B. 94 C. 116 D. 146 48. Solve 5(x – 6) < 2(x – 9). A. x < 16 B. x > 4 C. x < 3 D. x < 4 50. A rock dropped from a 1024-foot-high cliff falls a distance D given by D = 16t^2, where t is the time in seconds after the rock is dropped. How long will it take the rock to reach the bottom of the cliff? A. 64 seconds B. 32 seconds C. 16 seconds D. 8 seconds