Question

the drift velocity (vd) and applied field (e) of a conductor are related as

Answer 1

Directly proportional to electric field

Answer 2

Drift velocity is directly proportional to electric field . as you know, the formula of drift velocity is
$\bold{V_d=\frac{e.E.\tau}{m}}$
where , Vd is the drift velocity , e is charge of electron , E is the electric field , τ is the time of relaxation. m is the mass of electron .

here you can see that drift velocity directly proportional to electric field.

also you know drift velocity in mobile solution is given by formula
$\bold{\text{drift velocity }=\text{electric field }\times{mobility}}$
here, also drift velocity is directly proportional to electric field.