Question 1 (Multiple Choice Worth 1 points) \( (05.02 \mathrm{MC}) \) On one day at a local minigolf course, there were 414 customers who paid a total of \( \$ 3,780 \). If the cost for a child is \( \$ 9 \) per game and the cost for an adult is \( \$ 12 \) per game, write a system of equations to model this scenario, where \( x \) represents the number of children and y represents the number of adults who played that day.

To model this scenario, we can set up a system of equations. First, we know the total number of customers: \( x + y = 414 \). This equation represents the relationship between the number of children and adults. Next, we need to account for the total revenue: \( 9x + 12y = 3780 \). This equation reflects the total money earned based on the cost of games played by children and adults. So, the system of equations is: 1. \( x + y = 414 \) 2. \( 9x + 12y = 3780 \) Now, you're all set to solve the puzzle of minigolf customers! Have fun working through those equations! One interesting fact about minigolf is that it originated in the 19th century as a way for people to play golf in a more relaxed, casual setting. It was originally designed to allow women to play golf without needing to adhere to strict rules related to attire and etiquette. If you're interested in more complex modeling, you could explore how changes in pricing might affect customer turnout. For example, analyzing price elasticity could provide insights into whether lowering or raising prices might attract more players! This could involve looking at historical data on customer numbers and prices to find the sweet spot for maximized revenue.