Question

Comparing Different Representations
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

Answer 1

Granola bars.

Calculations:
- Granola bars: y = 3x → 3 × 30 = 90
- Toy cars: pattern 3→4, 6→8, … → y = (4/3)x → (4/3) × 30 = 40
- Miniature figurines: points show y = 2x → 2 × 30 = 60

90 is the largest, so she needs the most granola bars.