Question

Y is inversely proportional to the squre of X.given that Y=2 when X=6, find the calue of y when x=2

Answer 1

Answer:

y = 2/9

Step-by-step explanation:

y=x²

y=kx²

2= k(6)²

2= 36k

k= 1/18

The connecting formula is

y= 1/18x²

when y=? , x=2

therefore,

y= 1/18x²

y= 1/18(2)²

y= 1/18(4)

y= 2/9

Answer 2

Answer:

y = 18 when x = 2

Step-by-step explanation:

y ∝ x^2

y = k/x^2

Substituting 'y=2' and 'x=6' to get the value of k:

2 = k/6^2

2 = k/36

k = 36*2

= 72

Hence,

y = 72/x^2

Substituting 'x=2' to get the y-value:

y = 72/2^2

= 72/4

= 18

Hence,

when x =2, y = 18

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