A parking garage has an automatic ticket dispenser which prints tickets with terms located on the back. To receive a ticket, you must have already submitted payment. The terms are located nowhere else in the parking garage. You leave the parking garage 5 minutes past your parking expiry. Unbeknownst to you, the terms of the parking garage say that you must pay a $50 fine, which is incurred immediately after being late and every half hour thereafter.

Are you contractually bound to pay the late fine? Why or why not?

https://youtu.be/CwT1AjqKKrE