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Chapter 3: Linear Functions Lesson 3: Linear Combination Situations Mrs. Parziale

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Linear Combination: All variables are to the power and they are not or by each other. Linear Combination: All variables are to the power and they are not or by each other. first divided multiplied Examples: 1) 3x + 3y 2) 2d = 3c -5 3) 4P + 3Q - 6R = 5

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Discrete Domain: A discrete graph is made up of a series of points. unconnected

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Pepper sold $36 worth of tickets for the Pep Club Picnic. Adult tickets cost $5 and student tickets cost $2 There is no charge for children under 6 years of age. a) Write an equation between the number of adult tickets A and the student tickets S, and the children's tickets C that Pepper sold.

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b) Make a table and graph of all possible (S,A) that could have occurred. S A

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S A

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A lawn maintenance worker combines two kinds of solutions, each a mixture of weed killer and water. Mixture A is 5% weed killer and mixture B is 15% weed killer. All mixtures are measured by the ounce. Continuous Domain: 1) How many ounces of weed killer are in the 5% solution? 2) How many ounces of weed killer are in the 15% solution?

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3) How many total ounces are there in the combination? 4) Write an equation relating A, B and the total amount T of weed killer.

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.05A +.15B = T 5) How many ounces of 5% solution must be added to 50 ounces of 15% solution to get 12 ounces of weed killer in the final solution?

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7) Draw a graph to illustrate all possible (A,B) that give 12 ounces of weed killer in the final mixture..05A +.15B = 12

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7) Draw a graph to illustrate all possible (A,B) that give 12 ounces of weed killer in the final mixture..05A +.15B = 12 Is this graph discrete or continuous?

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7.4. 5x + 2y = 16 5x + 2y = 16 3x – 4y = 20 3x – 4y = 20 In this linear system neither variable can be eliminated by adding the equations. In this linear.

7.4. 5x + 2y = 16 5x + 2y = 16 3x – 4y = 20 3x – 4y = 20 In this linear system neither variable can be eliminated by adding the equations. In this linear.

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