There was a little error in t= -6 when "t"=2, I think you meant when "r"= 2 when t =-6 so i corrected it before solving.
Answer:r= 7/3
Step-by-step explanation:
Step 1
r varies inversely as t ,written mathematically can be expressed as
r ∝ 1/t
Introducing the constant of proportionality. K we have
r ∝ 1/t
r=Kt
Step 2
Now when r= 2 when t =-6, we have that
r=Kt
2 = K -6,
k=2/ -6= -1/3
Step 3
Find r when t =-7
Using our equation,
r=Kt
r= -1/3 x-7
r= 7/3
