Granola bars: y = 3 x. A 2-column table with 4 rows. Column 1 is labeled Guests with entries 3, 6, 9, 12. Column 2 is labeled Toy Cars with entries 4, 8, 12, 16. A graph has guests on the x-axis and mini figurines on the y-axis. Points are at (1, 2), (2, 4), (3, 6), (4, 8), (5, 10).
Rachel invites thirty guests to her party, and she wants to provide party gifts for her guests. She represents the relationship between guests (x) and the number of party gifts (y) using different representations. If the patterns in the table and graph continue, which item would she need the most of for 30 people?
granola bars
toy cars
miniature figurines
Based on the given information, the relationship between guests (x) and the number of party gifts (y) is represented by the equation y = 3x. If Rachel is inviting 30 guests to her party, she would need:
Granola bars: y = 3x = 3(30) = 90 granola bars
Toy cars: y = 3x = 3(30) = 90 toy cars
Miniature figurines: y = 3x = 3(30) = 90 miniature figurines
So, she would need the most of all three items with a total of 90 for each item.
To find out which item Rachel would need the most of for 30 guests, let's analyze the given information.
In the table, the relationship between guests (x) and the number of toy cars (y) is given by the equation y = 3x. This means that for every guest Rachel invites, she will need 3 toy cars.
In the graph, the relationship between guests (x) and the number of mini figurines (y) is given by the points (1, 2), (2, 4), (3, 6), (4, 8), (5, 10), etc. This suggests that the number of mini figurines (y) corresponds to twice the number of guests (x).
Now, let's consider the number of guests Rachel has invited: 30 guests.
If we use the equation y = 3x to calculate the number of toy cars needed for 30 guests, we get: y = 3 * 30 = 90 toy cars.
If we use the pattern from the graph to calculate the number of mini figurines needed for 30 guests, we would take twice the number of guests (x): 2 * 30 = 60 mini figurines.
Comparing these results, we can see that Rachel would need more toy cars (90) compared to the number of mini figurines (60) for 30 guests.
Therefore, the item she would need the most of for 30 people is toy cars.