Does Doubling y in an Inverse Proportion Problem Halve the Constant?

[e44-72]

Hello

if y $\propto$ 1/x
would 2y $\propto$ 1/0.5x
or 2y $\propto$ 1/2x

thank you for any replies

 

[haruspex]

Hello

if y $\propto$ 1/x
would 2y $\propto$ 1/0.5x
or 2y $\propto$ 1/2x

thank you for any replies

if y $\propto$ 1/x then
y $\propto$ 2y $\propto$ 1/0.5x $\propto$ 1/x $\propto$ 1/2x

 

[mathman]

y ∝ 1/x means y = k/x for some constant k. For your question, it means simply change the constant.