‘Could’ is used to make polite requests. We can also use ‘can’ for these but ‘could’ is more polite. 

• Could you help me, please?
• Could you lend me some money?
• Could I have a lift?
• Could I bother you for a moment?

If we use ‘could’ in reply to these requests, it suggests that we do not really want to do it. If you agree to the request, it is better to say ‘can’.

• Of course I can.
• I could help you if it’s really necessary but I’m really busy right now.
• I could lend you some money but I’d need it back tomorrow without fail.
• I could give you a lift as far as Birmingham.

‘Could’ is used to talk about theoretical possibility and is similar in meaning to ‘might’.

• It could rain later. Take an umbrella.
• He could be there by now.
• Could he be any happier?
• It could be Sarah’s.