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6-5 Applications of Linear Systems AGAIN

6-5 Applications of Linear Systems AGAIN. Goal: Use linear systems to solve real-life problems. Eligible Content: A1.1.2.2.1 / A1.1.2.2.2. Word Problem #1. Money : 70x + 90y = 2220. Shoes : x + y = 28. 15 pairs of Style A 13 pairs of Style B.

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6-5 Applications of Linear Systems AGAIN

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  1. 6-5 Applications of Linear Systems AGAIN Goal: Use linear systems to solve real-life problems. Eligible Content: A1.1.2.2.1 / A1.1.2.2.2

  2. Word Problem #1 Money: 70x + 90y = 2220 Shoes: x + y = 28 15 pairs of Style A 13 pairs of Style B A store sold 28 pairs of cross-trainer shoes for a total of $2220. Style A sold for $70 per pair and Style B sold for $90 per pair. How many of each style were sold? Standard Form x = Style A y = Style B

  3. Word Problem #2 Rent a Car m = .75 b = 50 y = .75x + 50 Ace Rentals m = 1.50 b = 35 y = 1.50x + 35 20 miles Two car rental agencies have different charges. At Rent a Car you pay $50 plus $.75 per mile. At Ace Rentals you pay $35 plus $1.50 per mile. How many miles do you drive for the two agencies to cost the same? Slope-Intercept Form

  4. Word Problem #3 Money: 4x + 2y = 80 Pounds: x + y = 25 15 pounds of granola 10 pounds of raisins A health food store mixes granola that costs $4 per pound and raisins that cost $2 per pound together to make 25 pounds of raisin granola. How many pounds of raisins should they include if they want the mixture to cost them a total of $80? Standard Form x = granola y = raisin

  5. Practice • Worksheet – “Linear Systems Word Problems” • 10 videos, $50 • 225 students, 276 adults • 250 miles, $31.50 • 2 children, 5 adults • 3.75 lbs of x, 6.25 lbs of y • 63 hot dogs, 114 hamburgers

  6. Homework • Worksheet – “Linear Systems Word Problems Homework”

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