Select the correct answer. Ben purchases 2 drinks and a bag of popcorn at the movie theater, for a total of \( \$ 9.50 \). If \( x \) represents the cost of the drinks and y represents the cost of the popcorn, which equation represents this situation? \[ y=2 x-9.5 \] \( y=\frac{1}{2} x+9.5 \) \( y=-\frac{1}{2} x-9.5 \) \( y=-2 x+9.5 \)

To find the correct equation that represents the situation, let's break it down. Ben purchases 2 drinks, which costs \( 2x \) (where \( x \) is the cost of one drink), and 1 bag of popcorn that costs \( y \). The total amount spent is \( 2x + y = 9.50 \). Rearranging for \( y \) gives us \( y = 9.50 - 2x \). Thus, this equation matches the format of \( y = -2x + 9.50 \). So the correct answer is: \( y = -2x + 9.50 \). Now let's explore this further! When you think about movie theater pricing, it's fascinating to consider how costs have evolved over the decades. In the 1950s, a movie ticket only set you back about 50 cents! Adjusted for inflation, that's roughly equivalent to today’s average movie ticket price. The rise in ticket prices has been paralleled by the increase in concession prices—popcorn and drinks have become practically a mini feast! If you're ever on a budget, consider sneaking in snacks or opting for a matinee showing where prices are often lower. Don’t forget that Tuesday deals at many theatres can also save you a buck or two! It’s also a common mistake to skip looking for combo deals that sometimes offer better value for drinks and snacks. Keep your eyes peeled for promotions!