SOLUTION: If y varies inversely with the square of x, how is y affected if x is increased by 150%?

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Question 568373: If y varies inversely with the square of x, how is y affected if x is increased by 150%?

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
If y varies inversely with the square of x, how is y affected if x is increased by 150%?
yBEFORE = drawing%2847%2C50%2C0%2C10%2C-1%2C1%2Clocate%280%2C1%2Ck%2Fx%5BBEFORE%5D%29%29
yAFTER = drawing%2847%2C50%2C0%2C10%2C-1%2C1%2Clocate%280%2C1%2Ck%2Fx%5BAFTER%5D%29%29

Now
xAFTER = 150% OF drawing%2847%2C50%2C0%2C10%2C-1%2C1%2Clocate%280%2C.6%2Cx%5BBEFORE%5D%29%29
xAFTER = 1.5drawing%2847%2C50%2C0%2C10%2C-1%2C1%2Clocate%280%2C.6%2Cx%5BBEFORE%5D%29%29

yAFTER = drawing%2847%2C50%2C0%2C10%2C-1%2C1%2Clocate%280%2C1%2Ck%2Fx%5BAFTER%5D%29%29
yAFTER = drawing%2875%2C50%2C0%2C10%2C-1%2C1%2Clocate%280%2C1%2Ck%2F%281.5x%5BBEFORE%5D%29%29%29 = 1%2F1.5drawing%2847%2C50%2C0%2C10%2C-1%2C1%2Clocate%280%2C1%2Ck%2Fx%5BBEFORE%5D%29%29 =
= 10%2F15drawing%2847%2C50%2C0%2C10%2C-1%2C1%2Clocate%280%2C1%2Ck%2Fx%5BBEFORE%5D%29%29 =
= 2%2F3drawing%2847%2C50%2C0%2C10%2C-1%2C1%2Clocate%280%2C1%2Ck%2Fx%5BBEFORE%5D%29%29 =
= 2%2F3yBEFORE
So it has been reduced by 2%2F3 or 66%262%2F3%
Edwin