Question

If t varies inversely with a and t is 2 when a is 36 what is t when s is 3

Answer 1

t = 24

Explanation:

Given that t varies inversely with a then the equation relating them is

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

To find k use the condition t = 2 when a = 36, that is

2 =
`(k)/(36)` ( multiply both sides by 36 )

72 = k

t =
`(72)/(a)` ← equation of variation

Given a = 3, then

t =
`(72)/(3)` = 24