Increased compensation for increased work/responsibility is a given. However you have to be flexible to an extent on the timing. The company may wait until the end of a quarter or for a performance review. This is when it’s appropriate to ask for an increase. If they delay, leave
One of the biggest determining factors for a new hire is how long will it take to get them trained and proficient? Your resume needs to include relevant experience that tells the interviewer “I will get up to speed quickly and easily.”