Case Assignment 3

# Case Assignment 3 - 2x 73 =y 2x 73 x=205 3x 73=205...

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TUI UNIVERSITY Dean J. Keveles Module 3 Case Assignment BUS306 Quantitative Reasoning Dr. Jolanta Auden July 29, 2011

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Answer the question and solve the problems below. Make sure you show all your work so you can get partial credit even if you get the final answer wrong. 1. Determine whether the lines will be perpendicular when graphed. 3x - 2y = 6 Let x=0 and solve for y 3(0)-2y=6 -2y=6 y=-3 Plot point (0, -3) 2x + 3y = 6 Let x=0 and solve for y 2(0)+3y=6 3y=6 y=2 plot point (0, 2) Answer=Yes, the lines will be perpendicular when graphed at (2, 0). Therefore, x=2 and y=0. 2. Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section? x= Smoking Section Seats y= Non-smoking Section Seats x+y=205
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Unformatted text preview: 2x+73 =y 2x+73+x=205 3x+73=205 3x=205-73 3x=132 x=44 205-44=161 y=161 Non-smoking Section Seats=161 Smoking Section Seats=44 3. Solve the system of equations by the substitution method x + 3y = 32-3x + 2y = 3 x = 32 – 3y-3(32-3y)+2y=3-96+11y=3 11y = 3 + 96 11y = 99 y = 99/11 y = 9 x + 3(9) = 32 x+27=32 x=32-27 x=5 4. Solve the system of equations x + y = 5 x - y = -9 2x=-4 x=-4/2 x=-2 -2+y=5 y=5+2 y=7 5. Ricks Paint Store sells a special shade of pink paint (Ricky's Blush) which can be made from red paint and white paint. The amount of red paint should be three times the amount of white paint. How much of each kind of paint is needed to make 264 gallons of Ricky's Blush? r=Red Paint w=White Paint r=3w r+w=264 3w+w=264 4w=264 w=264/4 w=66 r+66=264 r=264-66 or r=3(66) r=198...
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