Here's a quick derivation based on first principles in high school physics. The amount of work done against a constant opposing force (imagine air resistance) is distance times force. If we assume a constant speed, then there is no net force and no electric energy is converted to kinetic energy, then all the electric energy is for doing the work. Suppose you are driving the same distance but double the speed, that fixed opposing force (air resistance) will quadruple. So doubling your speed consumes four times as much energy but you arrive in only half the time.
This is of course a crude approximation but just drive slower if you have range anxiety.
This is of course a crude approximation but just drive slower if you have range anxiety.