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Given that y varies inversely as the square of x. If x = 3 w...

Given that y varies inversely as the square of x. If x = 3 when y = 100, find the equation connecting x and y.

A.

yx2=300

B.

yx2=900

C.

y = 100x9

D.

y=900x2

Correct answer is B

Y α1x2y=kx2

If x = 3 and y = 100,

then, 1001=k32

1001=k9

k = 100 x 9 = 900

Substitute 900 for k in

y = kx2; y = 900x2

= yx2=900