Linear System Assignment #2 YOU MUST SHOW ALL YOUR WORK! NO WORK – NO CREDIT! ____ 1. Mr. Frankel bought 7 tickets to a puppet show and spent $43. He bought a combination of child tickets for $4 each and adult tickets for $9 each. Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought? a. a = c - 9 9a + 4c = 43 b. 9a + 4c = 43 a + c = 7 c. a + c = 301 d. 4a + 4c = 50 a + c = 7 2. The equation c = 5x + 770 can be used to represent a companys cost, in dollars, for producing x cubic yards of bark dust each month. The equation P = 16x can be used to represent the income, in dollars, the company receives when it sells x cubic yards of bark dust. Sketch a graph of the system of equations and find the number of cubic yards of bark dust the company must produce and sell before it begins to show a profit for the month. (Hint: When Cost and Profit equal.) 3. Als Auto Shop charges $149 for parts and $53 per hour of labor for a repair job. Ednas Engine Repair charges a flat fee of $280 for the same job. a. Write a system of equations to represent the situation. b. Graph the system of equations. c. Which shop is cheaper if the job takes 2 hours? 3 hours? Performance Task: 4. The Golden Age Club is trying to book a location for their annual retirement dinner. The Blue Room restaurant quoted a price of $250 for the room and $30 per person for the dinner while the Wagon Wheel restaurant quoted a price of $40 per person. a. Write an equation that models each booking. b. How many people would have to attend so that the Blue Room is the better choice? so that the Wagon Wheel is the better choice? 5. Find two numbers whose sum is 36 and whose difference 2. 6. Determine if the system has one solution, no solution or infinite solutions. ____ 7. Which system of equations has no solution? a. 3x - 4y = 1 3x - 4y = 2 b. 3x - 4y = 1 5x + 6y = 2 c. 3x - 4y = 1 3x + 4y = 1 d. 3x - 4y = 1 12x - 16y = 4 8. Express each equation in slope-intercept form. Then determine,