If (y propto frac{1}{x^2}) and x = 3 when y = 4, find y when…

If (y propto frac{1}{x^2}) and x = 3 when y = 4, find y when x = 2.

Correct Answer: Option C

Explanation

(y propto frac{1}{x^2})

(y = frac{k}{x^2})

(4 = frac{k}{3^2})

(k = 4 times 3^2 = 36)

(y = frac{36}{x^2})

When x = 2,

(y = frac{36}{2^2} = 9)