To determine which item Rachel needs the most of for 30 guests, we can use the provided equation \( y = 3x \), where \( x \) represents the number of guests and \( y \) indicates the number of items needed.
Let's break it down:
- Identify \( x \): For 30 guests, \( x = 30 \).
- Calculate \( y \): Using the equation, we substitute \( x \): \[ y = 3(30) = 90 \] This means Rachel will need a total of 90 party gifts.
If we assume that the gifts (Granola Bars, Toy Cars, Miniature Figurines) are distributed evenly, we need to determine how many of each type would correspond to 90 items total.
If there are three types of gifts and assuming an equal distribution:
- Each type would get \( \frac{90}{3} = 30 \) items.
If you then need the number of each particular gift as specified in the question, we can interpret "which item would she need most of" by considering the multipliers (if any were inferred) or just understanding that she plans to give 90 items total shared equally among them.
Since there are no further details regarding uneven distribution or multipliers for each item from the graph or table, we conclude that she will need:
- Granola Bars: 30
- Toy Cars: 30
- Miniature Figurines: 30
In this case, no one type stands out as needing "the most" since they will all also come out the same amount with these assumptions.
However, if we assume a scenario wherein one type (for example, Granola Bars) required a larger multiplier than others (not given in the problem) you could see it differing, but without further information or context on the "patterns in the table and graph", we can only conclude:
Granola Bars, Toy Cars, Miniature Figurines are all needed in equal amounts, 30 each, based on the calculations with the information provided.
Hence, without more context, any of those gifts can be claimed to be needed the most based on your interpretation. But typically, if one were to assume the selection of item given would be for the first listed (since it's likely ordered), Granola Bars could be the final inference typically made in such a problem scenario without more explicit instructions.
Ultimately, selecting Granola Bars can be a common conclusion drawn based on nominal first listings given and might reflect preference in notational form.
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