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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 variation? Explain. If 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 |