SOLUTION: Please help, it asks: (x) varies directly as the square of (s) and inversely as (t). How does (x) change when (s) is doubled? when both (s) and (t) are doubled? I am so confused.

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Question 131283This question is from textbook structure and method
: Please help, it asks: (x) varies directly as the square of (s) and inversely as (t). How does (x) change when (s) is doubled? when both (s) and (t) are doubled?
I am so confused. please help!!! This question is from textbook structure and method

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I use what is called the constant of proportionality k.
k relates the variables in question.
x+=+k%2As
x+=+k%2A%281%2Ft%29
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How does (x) change when (s) is doubled?
x+=+k%2A%282s%29
x+=+2%2A%28k%2As%29
x doubles when s is doubled
------------------
when both (s) and (t) are doubled?
x+=+k%2A%281%2F%282%2At%29%29
x+=+%281%2F2%29%2Ak%2A%281%2Ft%29
x is doubled in one case and divided by 2 in the other,
so the effect is 2%2A%281%2F2%29+=+1 and x is not changed