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Precalculus Mr. Jeckovich Assignment: 7.) p.37 # 77,85 Name:__________________________________________ p.53 # 83,91,107,123 p.64 # 1,3,9,11,31,33,51,53 Bonus p.65 #49 Match the description with its graph. Also determine the slope and how it is interpreted in the situation. [ ] 77. A person is paying $10 per week to a friend to repay a $100 loan. 125 100 75 50 25 2 [ 4 6 8 10 ] 85. Suppose that your salary was $28,500 in 1994 and $32,900 in 1996. If your salary follows a linear growth pattern, what will your salary be in 2000? Find all real solutions of the equation. Use a graphing utility to verify your solutions. [ ] 83. 1 t 2 + 8 + 15 = 0 t [ ] 91. x + 1 - 3x = 1 [ ] 107. 2 x = x + x - 3 [ ] 123. Solve for b : A = 1 a + b h 2 p.64 Match the inequality with its graph. ( or sketch the graph) [ ] 1. x < 3 [ ] 3. -3 x 4 Solve the inequality and sketch the solution on the real number line. Use a graphing utility to verify your solution graphically [ ] 9. -10 x < 40 -10 -8 -6 -4 [ -2 0 2 4 6 8 10 ] 11. 4x + 1 < 2x + 3 -10 -8 -6 -4 -2 0 2 4 6 8 10 Solve the inequality and sketch the solution on the real number line. [ ] 31. x 3 2 [ ] 33. x - 20 4 Solve the inequality and graph the solution on the real number line. Use a graphing utility to verify your solution graphically. [ ] 51. 2 x + 2 25 [ ] 53. 2 x + 4x + 4 9 Bonus: [ ] 49. Data Analysis The college admissions office wants to decide if there is a relationship between IQ scores x and grade-point averages y after the first year. A sample of 12 students yielded the following data. (a) Use a graphing utility to plot the points. What shape does the plot have? L1 {¡} L2 {¡} 5 4 3 2 1 115 120 125 130 135 140 (b) Use the regression capabilities of a graphing utility to find a model appropriate to the shape of the plotted data. Graph the model in the same viewing rectangle as part (a). 5 4 3 2 1 115 120 125 130 135 140 (c) Which values of x predict a grade-point average of at least 3.0 ? (d) Use the graph to write a statement about the accuracy of the model. If you think the graph indicates that IQ scores are not particularly good predictors of grade-point average, list other factors that may influence college performance.