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Unformatted text preview: MAC 1105 Module Test 3 Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Give the coordinates of the point of intersection of the linear equations. 1) 4x + y = 9 2x + 4y = 22 A) (5, 1) B) (1, 5) C) (0, 5) D) (1, 0) Answer: B Objective: (1.7) Find Point of Intersection of Linear Equations Does the system have a unique solution, no solution, or many solutions? 2) 2x + 3y = 6 4x + 6y = 12 A) A unique solution B) Many solutions C) No solution Answer: B Objective: (1.7) Determine Number of Solutions of System Solve the problem. 3) Suppose that the number of inhabitants of Country A is given by y = - 7.73x + 923.95 million, and the number of inhabitants of Country B is given by y = 3.67x + 617.29 million, where x is the number of years since 1960. When the number of inhabitants of Country A equals the number of inhabitants of Country B, how many people inhabit each country? A) 716,786,000 people B) 715,240,000 people C) 716,013,000 people D) 717,559,000 people Answer: C Objective: (1.7) Solve Apps: Systems of Linear Equations in Two Variables To Fnd the number of units that gives break- even for the product, solve the equation R = C. Round your answer to the nearest whole unit. 4) A manufacturer has total revenue given by the function R = 90x and has total cost given by C = 45x + 65,000, where x is the number of units produced and sold. A) 45 units B) 1444 units C) 481 units D) 135 units Answer: B Objective: (1.7) Solve Apps: Find Break- Even Solve the system of equations by substitution, if a solution exists....
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