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 worth5 pts eachfor 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 10pts eachfor 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? 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. 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 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 2092)0292235210A⎡⎤⎢⎥−⎢⎥⎢⎥−⎣⎦2032)0252299210B−⎡⎤⎢⎥−⎢⎥⎢⎥−⎣⎦