Hi my name is ***** ***** i will be assisting you today.
I am sorry to hear that you are facing problem with your Kodak EasyShare camera, i will tell you the reason and solution after asking few questions from you about the problem.
How old is the camera?
I believe the problem is when you insert a new set of batteries the batteries drain drastically after clicking few pictures am i correct.
if this is the problem the camera needs a repair.
The capacitor and the main board of the camera need a repair.
carry the camera to any camera repair shop and get an estimate for the repair if the repair cost more the 50 pounds then i would suggest you must opt for a new camera as the repair don't guarantee the fix for a long time.
feel free to ask if you have any question.