SOLUTION: Having problems figuring this one out. 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. Thanks.

Algebra ->  Radicals -> SOLUTION: Having problems figuring this one out. 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. Thanks.      Log On


   



Question 171704: Having problems figuring this one out. 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. Thanks.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can use what are called constants of variation
(1) x+=+k%2As%5E2 (k is the constant)
(2) x+=+j%2A%281%2Ft%29 (j is the constant)
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What if s is doubled?
x+=+k%2A%282s%29%5E2
x+=+4k%2As%5E2
Compare this with (1). x has been quadrupled
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What if t is doubled also?
x+=+j%2A%281%2F%282t%29%29
x+=+%281%2F2%29%2Aj%2A%281%2Ft%29
Compare this with (2) x has been halved
If you do both, the net result is
4%2A%281%2F2%29+=+2
So, x is doubled