# If y varies inversely as x^2, and y=2 when x=4, what is the constant of variation?

The constant of variation is $k = 32$
y prop 1/x^2 or y = k* 1/x^2 ; y=2  when $x = 4 \therefore 2 = k \cdot \frac{1}{4} ^ 2 \mathmr{and} k = 32$ where "k" is constant of variation. {Ans]