To determine which item Rachel would need the most of for 30 people, we first need to understand the relationship given by the equation \( y = 3x \).
Here, \( x \) represents the number of guests (which is 30), and \( y \) represents the number of party gifts.
Using the equation, we can calculate the amount of gifts needed for 30 guests:
\[ y = 3(30) = 90 \]
This means Rachel needs 90 gifts in total.
Next, we need to look at how these gifts might be distributed among the three different items: granola bars, toy cars, and miniature figurines. Without specific ratios or distributions provided for these gifts, we can only assume that the gifts could be chosen equally or in some proportion.
If we assume an equal distribution among the three types:
- For granola bars: \( \frac{90}{3} = 30 \)
- For toy cars: \( \frac{90}{3} = 30 \)
- For miniature figurines: \( \frac{90}{3} = 30 \)
In this scenario, she would need 30 of each item. However, if there is any indication that one specific type is favored (for instance, if the pattern suggests, based on the table or graph), we would go with that item.
Given no further distribution information is provided in the question, we will choose the item Rachel might need the most for this case, typically the most popular or most commonly desired item.
From the options provided, "miniature figurines" is repeated, while no specific preference is given to granola bars or toy cars.
Therefore, the most likely correct answer, assuming popularity is a factor, is:
miniature figurines