SOLUTION: 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?

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Question 177419: 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?
Answer by Mathtut(3670) About Me  (Show Source):
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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?
:
so xt%2Fs%5E2=k--->x=s%5E2k%2Ft
:
if s is doubled--->x=%282s%29%5E2k%2Ft--->4%28s%5E2k%2Ft%29 meaning x will quadruple
......................................................in size
:
if s and t are doubled--->x=%282s%5E2%29k%2F2t--->x=4s%5E2k%2F2t--->
2%28s%5E2k%2Ft%29meaning x will double in size.
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