Question

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

Answer 1

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