Continental Airlines has said it will waive fees to check your first bag. The catch to this is that you must be a holder of its branded Chase credit or debit card. If you own this airline credit card it would save you $30 on a round trip. This move comes from a sale of $235 million worth of frequent flier miles to Chase Bank from Continental Airlines. More than 1 million people carry a Continental debit or credit card from JPMorgan Chase. If you do not have this airline mile credit card then you will stay have to pay to check your bag.