The equation that represents the relationship between the number of tickets, t and the total cost of the tickets, c is:
c = t * x
where x is the cost of each ticket.
To find x, we can divide the total cost of $972 by the number of tickets, which is 54:
x = c/t
x = $972/54
x = $18
So the equation becomes:
c = 18t
This equation represents the linear relationship between the number of tickets and the total cost of the tickets.