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?

Answer 1

The correct answer to this question is this one: "4/45"

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

So the correct answer for k is 4/5

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)
So that makes 4/45