6-5 Applications of Linear Systems AGAIN

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Presentation transcript:

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 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 Money: 70x + 90y = 2220 Shoes: x + y = 28 15 pairs of Style A 13 pairs of Style B

Word Problem #2 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 Rent a Car m = .75 b = 50 y = .75x + 50 Ace Rentals m = 1.50 b = 35 y = 1.50x + 35 20 miles

Word Problem #3 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 Money: 4x + 2y = 80 Pounds: x + y = 25 15 pounds of granola 10 pounds of raisins

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 peppermint, 6.25 lbs of chocolate 63 hot dogs, 114 hamburgers

Homework Worksheet – “Linear Systems Word Problems Homework #2”