The model represents the total amount spent by Jonah.
We have:
[tex]11+\frac{15}{x}[/tex]Looking at the model, there is a constant and variable part of the expression
We know he bought a ticket whose cost is independent of the other expenses.
Therefore, 11 represents his cost of movie ticket.
On the other hand, 15/x represents the cost incurred in the shared expense. The total cost divided by the participants.
Therefore, total popcorn cost is 15.
John's portion will be a proportion of the total. By proportion, we refer to the total cost divided by the number of paticipants. This gives Jonah's portion to be:
[tex]\frac{15}{x}[/tex]