To determine how many tables would be needed for 16 people based on the information provided, we can establish a pattern from the given seating arrangements.
From the information provided:
- At 1 table, there are 4 people.
- At 2 tables, there are 6 people.
- At 3 tables, there are 8 people.
We can summarize the arrangements as follows:
- 1 table: 4 people (1 * 4 = 4)
- 2 tables: 6 people (2 * 3 = 6)
- 3 tables: 8 people (3 * 2.67 ≈ 8)
We can create a sequence based on the number of tables and the number of people they accommodate. Let's extract the pattern from the number of people seated:
- For 4 people at 1 table: 1 table
- For 6 people at 2 tables: 2 tables
- For 8 people at 3 tables: 3 tables
Notice that the seating increases by 2 people for every additional table.
We can observe this as:
- Table 1: 4 people
- Table 2: 6 people
- Table 3: 8 people
- And if we extend this logic:
Following the same logic, we could assume the next increments maintain the pattern of adding 2 additional people:
- Table 4: 10 people (4 tables)
- Table 5: 12 people (5 tables)
- Table 6: 14 people (6 tables)
- Table 7: 16 people (7 tables)
From this sequence, we see that it would take 7 tables to seat 16 people.
Thus, to accommodate 16 people, you would need 7 tables.
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