Final answer:
The proportional equation relating the total cost of kids' movie tickets to the number of tickets purchased is y = 8.50x, where x is the number of tickets and y is the total cost.
Step-by-step explanation:
The student's question involves writing a proportional equation that relates the total cost of kids' movie tickets to the number of tickets purchased. To determine the equation, one method is to observe the pattern in the ticket prices provided and create a ratio.
Analyzing the table, it appears that each ticket adds a consistent amount to the total cost. The cost for 2 tickets is $17.00, so each ticket should cost $17.00 / 2 = $8.50. Therefore, if x is the number of kids' tickets and y is the total cost for those tickets, we can derive the equation y = 8.50x. This equation shows that for every additional ticket purchased, $8.50 is added to the total cost.