If y varies inversely as x, and y = 3 when x = 6, find x when y = 18.
k = x =

k = 18, x = 1

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = ← k is the constant of variation

To find k use the condition y = 3 when x = 6, thus

k = yx = 3 × 6 = 18

y = ← equation of variation

When y = 18, then

18 = ( multiply both sides by x )

18x = 18 ( divide both sides by 18 )

x = 1

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step-by-step explanation: