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Assume that y varies inversely with x. If y = 4 when x = 6, find y when x = 2

1 Answer

1 vote

Answer:

y = 12

Explanation:

Given y varies inversely with x then the equation relating them is

y =
(k)/(x) ← k is the constant of variation

To find k use the condition y = 4 when x = 6, then

4 =
(k)/(6) ( multiply both sides by 6 )

24 = k

y =
(24)/(x) ← equation of variation

When x = 2 , then

y =
(24)/(2) = 12

User Andreas Lorenzen
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