SOLUTION: I am totaly lost with this one guys!!!! "X" varies directly as the square of "S" and inversely as "T". How does "X" change when "S" is doubled? How does it change when both "S"

Algebra ->  Square-cubic-other-roots -> SOLUTION: I am totaly lost with this one guys!!!! "X" varies directly as the square of "S" and inversely as "T". How does "X" change when "S" is doubled? How does it change when both "S"       Log On


   



Question 33433: I am totaly lost with this one guys!!!!
"X" varies directly as the square of "S" and inversely as "T". How does "X" change when "S" is doubled? How does it change when both "S" and "T" are doubled?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
X=kS^2/T
If you double S you get:
X=k(2S)^2/T= k (4S^2)/T = 4[kS^2/T}
So, you see that doubling S multiplies the value of X by "4".
If both S and T are doubled you get:
X=k(2S)^2 / (2T)= 4kS^2/2T = 2[kS^2/T]
Here you see the value of X has been multiplied by "2"
Cheers,
Stan H.