If y ∝ \(\frac{1}{x^2}\) and x = 3, when y = 4, find y when x = 2
A
3
B
9
C
1
D
18
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
y ∝ \(\frac{1}{x^2}\)
y = \(\frac{\text{k}}{x^2}\)
When x = 3, y = 4.
y = \(\frac{\text{k}}{x^2}\)
4 = \(\frac{\text{k}}{9}\)
k = 36.
When x = 2,
y = \(\frac{36}{4}\) = 9
Source: Myschool Past Questions Archive (Record #75817)