Suppose that w and t vary inversely and that t =1/5 when w = 4. Write a function that models the inverse variation, and find t when w = 9.

Would it be t=1/5w;4/45 or 4/5w;4/45?

Question

Suppose that w and t vary inversely and that t =1/5 when w = 4. Write a function that models the inverse variation, and find t when w = 9.

Would it be  t=1/5w;4/45 or 4/5w;4/45?

hartnn · Answer

inverse variation ---> wt = constant
let wt=k
put w=4, t= 1/5 and find  k. ?

anonymous · Answer

4/5? :/

hartnn · Answer

yes, wt = 4* (1/5) = 4/5 = k
so your function is 
wt = 4/5 or t= 4/(5w)
now to get t, when w=9, just put w=9 in t=4/(5w)

anonymous · Answer

ooooh, so it would be 4/45?

hartnn · Answer

yes, absolutely :)

anonymous · Answer

your awesome! :D thanks again! xx

hartnn · Answer

your awesome too ! :D welcome again ^_^