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Assume that y varies inversely with x. If y = 16 when x = 1/2, find y when x= 32.
y = [?]

1 Answer

2 votes

Answer:

y =
(1)/(4)

Explanation:

Given that 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 = 16 when x =
(1)/(2)

k = yx = 16 ×
(1)/(2) = 8

y =
(8)/(x) ← equation of variation

When x = 32, then

y =
(8)/(32) =
(1)/(4)

User YuriR
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