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If x varies inversely as t, and x = 8 when t = 6, find t when x = 12-
=

1 Answer

9 votes

Answer:

t = 4

Explanation:

given x varies inversely as t , then the equation relating them is

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

To find k use the condition x = 8 when t = 6 , then

8 =
(k)/(6) ( multiply both sides by 6 )

48 = k

x =
(48)/(t) ← equation of variation

when x = 12 , then

12 =
(48)/(t) ( multiply both sides by t )

12t = 48 ( divide both sides by 12 )

t = 4

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