Question 6

Level 1

If y varies inversely with the square of x, and y=10 when x=2 , find y when x=0.5


The answer is 160.

Luye Xue by Luye Xue , 19, China

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1 solution

Luye Xue
Feb 24, 2015

y= k x 2 \frac{k}{x^{2}}

10= k 2 2 \frac{k}{2^{2}}

k=40

y= 40 0. 5 2 \frac{40}{0.5^{2}}

y= 40 0.25 \frac{40}{0.25}

y=160

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