If X Varies Directly As Y
If X Varies Directly As Y. If x varies directly as y 2 and x = 4 when y = 5, then find x when y is 1 5. The statement y varies directly as x , means that when x increases, y increases by the same factor.
Solve for the missing term. And hence x = 4y z. In this problem, the variation is direct.
X = K Y 6 = K ( 32) 6 32 = K ( 32) 32 3 16 = K \Begin {Align*} X&=Ky\\ 6&=K (32)\\ \Frac {6} {32}&=\Frac {K (32)} {32}\\ \Frac {3} {16}&=K \End {Align*} X 6 32 6 16 3 = K Y = K ( 32) = 32 K ( 32) = K.
If x varies directly with y and inversely with z , we have x=kyz x = k y z. Since this is a direct variation, the formula we'll be using to find the constant term is k=x/y. If x x x varies directly as y y y, then x = k y x=ky x = k y where k k k is the constant of variation.
Y = Kx ⇒ K = Y X = 0.5 2 = 0.25.
The value of x is 21. To find k use the given condition. And hence x = 4y z.
F X Varies Inversely As Y And Y Varies Directly As Z, What Is The Relationship Between X And Z?
In each of the following, given that y varies directly as x, find (i) the variation constant, (ii) an equation connecting x and y. We can also express the relationship between x and y as: Solution for if x varies directly as y, and x=21 when y=7, find x when y=9.
If X Varies Directly As Y, And X=42 When Y = 6, Find X When Y = 7.
Solve for the constant (k). X ∝ y × 1 z. That is, y varies inversely as x if there is some nonzero constant k.
An Inverse Variation Can Be Represented By The Equation Xy=K Or Y=Kx.
Determine the type of variation. If y varies directly as x, and y=9 when x=4, find y when x=16. Y = kx 9 = k(4) 9/4 = k.
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