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Module 2 case part 2

# Module 2 case part 2 - Trident University Rafael E Martinez...

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Trident University Rafael E. Martinez MAT101 - College Mathematics Module 2 Case Assignment Dr. Gregory Dlabach Systems of Equations (Part I) 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. Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged \$123.00 for 3 days and 300 miles, while Mary was charged \$216.00 for 5 days and 600 miles. What does Best Rental charge per day, for mileage? X = daily fee and Y = mileage fee 3x + 300y = 123 5x + 600y = 216 (3x+300y = 123)(-2) 5x + 600y + 216 -x = -30 then x = \$30.00 3(30) +300y=123 / 300y=33 then y=\$0.11 so then daily fee = \$30.00 and mileage fee = \$0.11 2. There were 44,000 people at a ball game in Los Angeles. The day's receipts were \$369,000. How many people paid \$ 13.00 for reserved seats and how many paid \$6.00 for general admission? X= reserved seats Y= general admissions x+y = 44000 13x + 6y = 369000 Y = 44000- X 13x + 6(44000 – x) = 369000 7x = 105000 then X = 15000

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Y = 44000 – 15000 then Y = 29000 3. Solve the system of equations x + 3y = 32, -3x + 2y = 8 x + 3y = 32 multiply by 3 -3x + 2y = 8 3x+9y=96 -3x + 2y = 8 11y=104 y=9.4 x=32-3y x=32-3*9.4 x=32-28.2 x=3.8 4. Solve the system of equations x + y = 6, x - y = -7 x=6-y. (6-y)-y=-7 -y-y=-7-6 -2y=-13 y=13/2=6.5 x+(13/2)=6 x=6-(13/2) x=-1/2=-0.5 5. During the 1998-1999 Little League season, the Tigers played 56 games. They won 12 more games than they
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Module 2 case part 2 - Trident University Rafael E Martinez...

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