SOLUTION: if x varies inversely as y and x=2 when y=8 find x when y=17

Question 303176: if x varies inversely as y and x=2 when y=8 find x when y=17
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
* "F varies as x" means F = kx
* "F varies jointly as x and y" means F = kxy
* "F varies as x + y" means F = k(x + y)
* "F varies inversely as x" means F = k/x
.
Your problem:
if x varies inversely as y and x=2 when y=8 find x when y=17
.
From: "x varies inversely as y" we get
x = k/y
.
to find 'k' use "x=2 when y=8"
x = k/y
2 = k/8
16= k
.
Our relation is now:
x = 16/y
.
Now, we can answer: find x when y=17
x = 16/y
x = 16/17 (this is your answer)

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