If x varies inversely with y and x = 4 when y = 9, find x when y = 6.

x = 6

given x varies inversely with y then

xy = k ← k is the constant of variation

to find k use the condition x = 4 when y = 9, hence

k = 4 × 9 = 36

x = ← inverse variation equation

when y = 6, then x = = 6

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