To determine the proportional relationship between the amount of money collected (y) and the number of adult tickets sold (x), we need to establish how the two variables relate in terms of an equation.
Assuming that "money collected" (y) is directly proportional to the number of tickets sold (x), the equation can typically be represented as:
\[ y = kx \]
where \( k \) is the constant of proportionality. The constant \( k \) would represent the price of each adult ticket.
From the options given, it seems that we are looking to identify the correct equation that fits this pattern.
If the relationship is described as:
- \( y = 208x \), that would mean for each ticket sold, the park collects $208 (which is likely not realistic).
- \( y = 52x \), that implies each ticket is sold at $52.
- \( x = 52y \) or \( x = 208y \) are not in the correct form for the relationship we are looking for.
If we assume you meant \( y \) (money collected) increases with \( x \) (tickets sold) at a rate of $52 per ticket, then the equation that describes the relationship is:
C. \( y = 52x \)
This means for every adult ticket sold, the revenue collected is $52.