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Published byGarey Stanley Modified over 9 years ago
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DIRECT VARIATION GOAL: WRITE AND GRAPH DIRECT VARIATION EQUATIONS Section 2-6:
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Direct Variation Two variables x and y show direct variation, or vary directly, if y = kx where k is a nonzero constant called the constant of variation. The graph of y = kx is a line with slope k. The y- intercept is 0 (zero), so the graph of any direct variation equation passes through the origin.
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Example 1: Graph y = 2x
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Graph y = 2/3 x
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Graph y = -4x
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Example 2: A recipe for fruit punch uses 2 lemons to make 7 cups of punch. Write an equation relating the number of servings y to the number of lemons x. How many cups of punch can you make if you have 8 lemons?
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Checkpoint: The variables x and y vary directly. Write an equation that relates x and y. x= 3, y = -9 y = kx -9 = k*3 k =-3 y=-3x
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Checkpoint: The variables x and y vary directly. Write an equation that relates x and y. x = 10, y = 2 y = kx 2 = k*10 1/5 = k y = 1/5 x
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P. 103-105 10-34 EVEN 50-66 EVEN HOMEWORK:
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