FINAL-Exam.pd - NAME: _ Final Exam. You may use whatever...

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NAME: ___________________ Final Exam. You may use whatever method you deem correct (unless otherwise stated)BUT you MUST show(EXCEL) or outline steps(Calculator). Questions 1 – 40 are worth 5 pts each for a complete solution. (TOTAL 200 pts) (Formulas, work, or detailed explanation required.) Question 41 – 50, DO ONLY FIVE(5) OF THE TEN(10) PROBLEMS worth 10 pts each for a complete solution, (TOTAL 50 pts) (Formulas, work required.)Indicate which problems you DO NOT want counted. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Chapter # 1 1. Find the slope of the line passing through the given pair of points. ( 3, 2) and ( 3, 9) A)(11/6) B) Undefined C)- (7/6) D) 0 2. Find the slope of the line. A line parallel to -4x = 5y + 11 A) - (11/4) B) - (4/5) C) - (5/4) D) (4/5) 3. The following data show the list price, x, in thousands of dollars, and the dealer invoice price, y, also in thousands of dollars, for a variety of sport utility vehicles. Find a linear equation that approximates the data, using the points (16.5, 16.1) and (20.0, 18.3). two way table A)y = 1.59x - 10.2 B) y = .629x + 6.38 C)y = .629x + 5.73 D) y = 1.59x - 9.11
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Chapter # 2 4. A lumber yard has fixed costs of $1463.00 a day and variable costs of $1.00 per board- foot produced. The company gets $2.40 per board-foot sold. How many board-feet must be produced daily to break even? A)696 board-feet B) 1045 board-feet C)430 board-feet D) 1463 board-feet 5. Find the equation of the least squares line. The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. A)y = -67.3 + 1.07x B) y = 67.3 + 1.07x C)y = 33.7 + 2.14x D) y = 33.7 - 2.14x 6. Use the echelon method to solve the system of three equations in three unknowns. 2x + 4y + z = 22 4x - 4y - z = 2 4x + y + 4z = 12 A)(4, 4, -2) B) (-2, 4, 4) C)(4, -2, 4) D) No solution 7. Solve the system of equations. Let z be the parameter. 7x + 3y + 5z = 0 3x + y + 2z = 0 A) B) C) D) 8. Write the augmented matrix for the system. Do not solve. 2x + 9z = 2 -2y + 9z = 22 3x + 5y - 2z = 10 20 9 2 )0 2 9 2 2 35 21 0 A ⎡⎤ ⎢⎥ ⎣⎦ 20 3 2 )0 2 5 2 2 99 2 1 0 B
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29 0 2 )2902 2 35 21 0 C ⎡⎤ ⎢⎥ ⎣⎦ 2 092 )0 2 9 2 2 35 2 1 0 D
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9. 10. Use the Gauss-Jordan method to solve the system of equations 5x + y = 13 6x + 5y = 8 A)(-2, 3) B) (3, -2) C)(-2, -3) D) No solution 11. Use the Gauss-Jordan method to solve the system of equations. 5x - y + z = 8 7x + y + z = 6 12x + 2z = 14 12. Write a matrix to display the information. In the first heat of the 100-yd dash, Russell's time was 15.5 sec, Sergy's time was 15.8 sec, and Omar's time was 16.2 sec. In the second heat, Russell's time was 15.3 sec, Sergy's time was 15.4 sec, and Omar's time was 15.7 sec. Write a 3 × 1 matrix that gives the change in each of their times from the first heat to the second.
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13. Solve the problem. A [ -6 4 ] B [ -3 4 ] C [ 1 2 ] D[ -2 6 ] 14. A company makes three chocolate candies: cherry, almond, and raisin. Matrix A gives the amount of ingredients in one batch. Matrix B gives the costs of ingredients from suppliers R and S. What is the cost of 100 batches of each candy using ingredients from supplier R?
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FINAL-Exam.pd - NAME: _ Final Exam. You may use whatever...

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