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Direct Variation     There are many situations in our daily lives that involve direct variation. For example, a worker may be paid according to the number of hours he worked. The some(prenominal) quantities x (the number of hours worked) and y (the amount paid) are peach out in such a way that when x changes, y changes proportionately such that the ratio remains a eternal. We give that y varies like a shot with x. Let us represent the everlasting by k, i.e. or y = kx where k ? 0 If y varies directly as x, this relation is written as y x and read as y varies as x. The stain is read varies as and is called the sign of variation.     vitrine: If y varies directly as x and given y = 9 when x = 5, find: * the equivalence connecting x and y * the value of y when x = 15 * the value of x when y = 6 dissolving agent: a) y x i.e.

y = kx where k is a constant relievo x = 5 and y = 9 into the equation: y = x b) Substitute x = 15 into the equation y = = 27 c) Substitute y = 6 into the equation     Example: The speak to of a taxi fare (C) varies directly as the hold (D) travelled. When the standoffishness is 60 km, the cost is $35. Find the cost when the distance is 95 km. Solution: i.e. C = kD, where k is a constant. Substitute C = 35 and D = 60 into the equation 35 = 60k ?k = Therefore, C =If you want to get a full-of-the-moon essay, order it on our website: BestEssayCheap.com

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