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Section 3.1

Section 3.1. Solving Linear Systems by Graphing. Key Skills. The Smith family is trying to decide between installing a cable TV or purchasing a VCR and renting tapes. Cable TV: one-time installation charge of $45, and $34 per month charge

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Section 3.1

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  1. Section 3.1 Solving Linear Systems by Graphing

  2. Key Skills The Smith family is trying to decide between installing a cable TV or purchasing a VCR and renting tapes. Cable TV: one-time installation charge of $45, and $34 per month charge VCR: one-time VCR purchase of $185, and rent 8 tapes per month @ $2.50 per tape, for $20 per month

  3. c =34m + 45 c = 20m + 185 Solve by graphing. 400 (10, 385) Cost 200 At 10 months, both plan will cost $385; prior to 10 months cable is cheaper (red line), after 10 months, cable is more expensive. 5 10 15 months

  4. y =3x + 1 y = -x + 5 4 =3(1) + 1 4 = -(1) + 5 Solve by graphing. (1, 4)

  5. y =2x + 2 y = -x – 1 Solve by graphing. (-1, 0)

  6. 3x – 2y = 2 2x – 3y = 8 3 2 8 y = x – 1 2 3 3 y = x – Solve by graphing: 3x – 2y = 2 2x – 3y = 8

  7. 3x + y = 4 x – 2y = 6 Solve by graphing: (2, -2) 3x + y = 4 y = -3x + 4 x – 2y = 6 1 2 y = x – 3

  8. y + 2x = 2 y + x = 1 Solve by graphing: (1, 0) y + 2x = 2 y = -2x + 2 y + x = 1 y = -x + 1

  9. y + 2x = 3 y + 2x = -4 Solve by graphing: same slope = parallel lines y + 2x = 3 y = -2x + 3 y + 2x = -4 y = -2x – 4

  10. The Carolina Wren Bird Club held its annual photography contest among its members. Contestants receive 4 points for photos of songbirds and 20 points for photos of birds of prey. Last years winner had a total of 200 points from 38 photos. How many photos of each type of bird did the winner photograph. songbird points + birds of prey points = 200 points 4x + 20y = 200 # of 4-point photos + # of 20-point photos = 38 photos x + y = 38

  11. How many photos of each type of bird did the winner photograph. 4x + 20y = 200 20y = -4x + 200 1 5 y = - x + 10 x + y = 38 y = -x + 38 (35, 3)

  12. x =35 y = 3 How many photos of each type of bird did the winner photograph. songbird pts + birds of prey pts = 200 pts 4(35) + 20(3) = 200 # of 4-pt photos + # of 20-pt photos = 38 photos 35 + 3 = 38 The winner photographed 35 songbirds and 3 birds of prey.

  13. Assignment Section 142 – 145 # 12 – 30 (÷3), 32 – 40, 42, 44, 53, 60

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