SOLUTION: If x varies directly as t and t varies inversely as the square of y, what is the relationship between x and y? A) x varies directly as y^2 B) x varies inversely as y^2 C) x vari

Algebra ->  Finance -> SOLUTION: If x varies directly as t and t varies inversely as the square of y, what is the relationship between x and y? A) x varies directly as y^2 B) x varies inversely as y^2 C) x vari      Log On


   

Question 1144729: If x varies directly as t and t varies inversely as the square of y, what is the relationship between x and y?
A) x varies directly as y^2
B) x varies inversely as y^2
C) x varies directly as y^4
D) x varies inversely as y^4
If you could explain which one is correct and why I’d appreciate it a lot! I’ve been really stuck on this question.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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x varies directly as t and t varies inversely as the square of y,
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constantskandK

system%28x=kt%2Ct=K%2Fy%5E2%29

Substitute for t.
x=k%28K%2Fy%5E2%29
x=%28kK%29%2F%28y%5E2%29-----------------This is choice C.