Question

Please help in the question it should be if t=-6 when r =-2 its an error

Answer 1

r = -
`(12)/(7)`

Explanation:

Given that r varies inversely as t , then the equation relating them is

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

To find k use the condition t = - 6 when r = - 2, then

- 2 =
`(k)/(-6)` ( multiply both sides by - 6 )

12 = k, thus

r =
`(12)/(t)` ← equation of variation

when t = - 7, then

r =
`(12)/(-7)` = -
`(12)/(7)`