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Given that y varies inversely as the square of x. If x =3 wh...
waec-2018 ssce-exam-2018 math waec-mathematics-2018
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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=100x/9

D:  y=900x2

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judziy
Asked by judziyrep:1.6K
University of Benin Nigeria
31 August 2020

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judziy
Judziy answeredrep:1.6K
University of Benin Nigeria
31 August 2020
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y ∝ 1/x2

y = k/x2 ------------- eqn(1)

where k is the proportionality constant

from eqn(1), k = yx2 ------------ eqn(2)

if x = 3 and y = 200,

k = 100(3)2

= 900

Therefore, the equation connecting x and y will be:

from eqn(1), 

y = 900/x2

yx2 = 900

Answer: B

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