A variable y is inversely proportional to x\(^2\), when y = 10, x = 2. What is y when x = 10?
A
2
B
4
C
100
D
0.4
E
0.1
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
y \(\alpha\) \(\frac{1}{x^2}\)
y = \(\frac{k}{x^2}\)
k = x\(^2\)y
= (2)\(^2\) x 10 = 40
y = \(\frac{40}{x^2}\)
= \(\frac{40}{(10)^2}\)
= \(\frac{40}{100}\) = 0.4
Source: Myschool Past Questions Archive (Record #32543)