SOLUTION: Find an equation of variation in which y varies inversely as the square of x, and y = 15 when x = 0.5.

Algebra ->  Expressions-with-variables -> SOLUTION: Find an equation of variation in which y varies inversely as the square of x, and y = 15 when x = 0.5.      Log On


   

Question 1098800: Find an equation of variation in which y varies inversely as the square of x, and y = 15 when x = 0.5.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
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..., y varies inversely as the square of x,...
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y=k%2Fx%5E2



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y = 15 when x = 0.5
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y%2Ax%5E2=k
k=15%2A%280.5%29%5E2
k=15%2F%285%2A5%2A%281%2F10%29%281%2F10%29%29
k=%28100%2A3%2A5%29%2F%285%2A5%29
highlight_green%28k=60%29

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Variation Model:
highlight%28y=60%2Fx%5E2%29