Question

Can someone please explain to me how to solve this: Suppose that y 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.

Answer 1

HI!!!

Answer 2

there may be some typo here
you have y, t, w

Answer 3

yes

Answer 4

1/5 = k/4 k = 0.8 t = 0.8/9 that's not right :(

Answer 5

ok it is \(w\) varies inversely with \(t\) so
\[\huge w=\frac{k}{t}\] to find \(k\) multiply \(\frac{1}{5}\times 4\)

Answer 6

yeah \(k=0.8\) so it is
\[w=\frac{0.8}{t}\]

Answer 7

ohh

Answer 8

if \[w=9\] then you have
\[9=\frac{0.8}{t}\] so \[t=\frac{0.8}{9}\]

Answer 9

wait how did you figure out how to set it up. I always get confused where the varibles go.

Answer 10

\(w, t\) are the variables, \(k\) is some number you are supposed to find
if \(w\) varies inversely with \(t\) that means
\[w=\frac{k}{t}\] and you have to find the number \(k\)

Answer 11

I don't have that answer in my answer choices

Answer 12

can you post a screenshot?

Answer 13

yes one second

Answer 14

im sorry it's taking awhile!

Answer 15

no problem

Answer 16

a. t = 1/5w ; 4/45
b. t = 1/5w ; 1/5
c. t = 1/20w ; 1/80
d. t = 4/5w ; 4/45

Answer 17

oh i see they want it the other way \(t=\frac{k}{w}\) no problem

Answer 18

OKay

Answer 19

\(k\) is still \(\frac{4}{5}\) so
\[t=\frac{\frac{4}{5}}{w}\] or '
\[t=\frac{4}{5w}\]

Answer 20

t = 4/45

Answer 21

thank you so much! :) @misty1212

Answer 22

\[\color\magenta\heartsuit\]