If y varies inversely as x and y= 2/5 when x= 1/20, find y when x=1/2 ?

ANSWER



EXPLANATION

If y varies inversely as x, we can write the relation,



When we introduce the constant of proportionality, we get the equation.



When

and



We get,


We solve for k, by multiplying both sides of the equation by


This implies that,



This simplifies to give



The variation equation now becomes,



or



When




This gives us,



The correct answer is B.