if x directly varies y, when x=35, y=7, find k.
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Variation:
• If x and y are directly varying to each . other, then x x y. Thus x = ky, where k is constant of variation.
• If x and y are inversely varying to each . other, then x < 1/y. Thus x = k/y, where k is constant of variation.
Solution:
Given that, x and y vary inversely.
Then x < 1/y x
or, x = k/y, where k is constant of variation
When y = 35 and k = 7
x = 7/35 = 1/5
Hence the value of x is 1/5.
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