Mathematics

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.

  • A.
    1
  • B.
    3
  • C.
    9
  • D.
    18
  • E.
    21
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)