Direct Variation Quick Check

What is the constant of variation in the following equation? y = 3x y 9 x 3 What is the constant of proportionality in the table above? x y 4 1 2 ¼ 4 1 8 2 12 3 16 4 20 5 No, because it's linear No, because it doesn'tpass through through the origin. Yes, because it's linear Yes, because it passes through the origin. Does this graph represent direct ? Explain.variationIf the constant of variability is 8 and y=24, what is the value of x? 2 192 3 16 Write an equation for the following situation: Marcus drove 90 miles in two hours. y = 2x y = 90x y = 45x y = 180x Which of the graphs represents a direct variation? a) c) b) d) What is the unit rate for the above data table? x y 3 2 1.5 2 3 4 6 4 6 9 8 12 10 15 Which of the following tables represents a direct variation (proportional)? a) b) y y x x 2 8 1 3 16 4 2 4 24 3 5 6 c) d) x y x y 10 0 2 -4 2 4 0 0 8 4 8 4 Which of the following equations is a direct variation? y = 7x y = 3x - 1 y = 5 2x -5y = 10 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Write an equation to represent this graph. x = 2y x = 4y y = x y = 2x |

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