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Published byEdward Beasley Modified over 9 years ago
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5.5: Direct Variation
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A function in the form y = kx, where k ≠ 0, is a direct variation. The constant of variation k is the coefficient of x. The variables y & x are said to vary directly with each other. To determine if an equation is a direct variation, solve for y. Does it look like y = kx?
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5x + 2y = 0 3y + 4x = 8
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To include point (4, -3) To include point (-3, -6)
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You hear thunder 10 seconds after you see lightning which means you are 2 miles from the lightning. Given the relationship between when we hear thunder and where the lightning occurs varies directly, write an equation for the relationship between time and distance.
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We can rewrite a direct variation y = kx as k = y/x Use the table to determine whether y varies directly with x. If it does write an equation. xyy/x -32.25 1-.75 4-3 6-4.5 xyy/x 2 41 63 94.5
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The force you must apply to lift an object varies directly with the object’s weight. You would need to apply.625 lb. of force to a windlass to lift a 28 lb. weight. How much force would you need to lift 100 lbs?
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p. 264 – 265 2-28 evens
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