Final answer:
The student can write the equation for a movie theater coupon scenario as y = 0.25x, where y represents the discounted price after applying a 75% discount, and x is the original ticket price.
Step-by-step explanation:
To create an equation for the movie theater coupon scenario, you need to use the given percentage to formulate a relationship between the discounted price (y) and the original price (x) of the ticket. A 75% discount means the customer pays 25% of the original price, since 100% - 75% = 25%. To express this as an equation: y = 0.25x, where y is the discounted price of the ticket, and x is the original price of the ticket.