To determine which item Rachel would need the most of for 30 guests, we need to analyze the function provided: \( y = 3x \).
In the equation, \( y \) represents the number of party gifts, and \( x \) represents the number of guests. With this equation, we can calculate the total number of gifts needed for 30 guests.
When \( x = 30 \): \[ y = 3(30) = 90 \]
This means Rachel would need a total of 90 party gifts for 30 guests.
Now, since there are three types of gifts mentioned (Granola Bars, Toy Cars, and Miniature Figurines) but no additional information is provided about how they are distributed among the guests, we can infer that typically a party gift might be one of the types for each guest.
If Rachel intends to give each guest one gift and continues the ratio of gifts as indicated by \( y = 3x \), then the distribution among the three items is not specified in the problem.
If we assume an equal distribution, she would then allocate:
- Granola Bars: 30 Guesets / 3 Types = 30 gifts
- Toy Cars: 30 gifts
- Miniature Figurines: 30 gifts
However, if she needs a total of 90 gifts, it's essential to recognize that every guest would still receive one gift, but if the question is looking for which type would be the maximum if they were distributed in a ratio of 3 to 1, or any other variation, we would need more specific information.
Without additional details on how she wants to split the gifts, we cannot definitively say which item Rachel would need the most of. However, based on the equation provided and assuming equal distribution, she’ll need adequate supplies of each item for 30 guests.
If you have any additional information about how the gifts are supposed to be divided or preferences for specific types of gifts, please provide that for a clearer answer!