What is the appropriate response when someone signals that they are choking and can still speak?

When someone is choking but is still able to speak, it indicates that their airway is not completely obstructed. In this scenario, encouraging the person to cough is the most appropriate response. Coughing is a natural reflex that can help dislodge the object causing the choking. It allows the person to use their own strength to clear the obstruction, which is generally safer and more effective than immediate intervention.

Offering a drink of water may not be advisable because it could potentially further block their airway or complicate the situation if they're unable to swallow properly. Performing abdominal thrusts is suitable for someone who cannot speak, cough, or breathe effectively, as it applies pressure that can help force the object out, but it is not necessary when the person can cough. Checking their airway might be a part of assessing the situation, but it is not an active response that directly assists someone who can still communicate. Therefore, guiding them to cough is the best course of action in this scenario.