When you sign up for an HP Instant Ink plan, you pay a monthly fee to print a defined number of pages per month. If you print beyond the free plan you will be charged for the extra pages.
So you need to update the credit card details in order to print the extra pages.
Your payment method is charged approximately 30 days after the day you insert your first HP Instant Ink cartridge in your enrolled printer. You are billed at the end of your billing cycle for the previous 30 days of service. You will be billed for your monthly plan fee, plus any additional pages you printed during your billing cycle.
Refer the instant ink FAQ for more information. Click Here
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