An illustration shows a square with four stars along the edges, two squares attached with six stars along the outer edges; and three squares attached with eight stars along the outer edges.
The tables for a party are seated as 4 people at 1 table, 6 people at 2 tables, and 8 people at 3 tables. Use a sequence to determine how many tables would be needed for 16 people.
(1 point)
To determine how many tables would be needed for 16 people, we can use the pattern we observe in the illustration.
From the given information, we see that for every square attached with four stars along the edges, it can seat 4 people.
Next, we have two squares attached with six stars along the outer edges, which can seat 2 people each. So these two squares can seat a total of 2 x 2 = 4 people.
Finally, we have three squares attached with eight stars along the outer edges, which can seat 2 people each. So these three squares can seat a total of 3 x 2 = 6 people.
Adding up the number of people each arrangement can seat, we get:
4 (from the first square) + 4 (from the second set of squares) + 6 (from the third set of squares) = 14 people.
Since we need to seat 16 people, we would need an additional table to accommodate the remaining 16 - 14 = 2 people.
Therefore, for 16 people, we would need 3 + 1 = 4 tables.
thats wrong
I apologize for the incorrect response. Let's try to solve the problem again.
From the given information, we know that for every square attached with four stars along the edges, it can seat 4 people.
For the squares attached with six stars along the outer edges, they can seat 6 people in total.
Similarly, for the squares attached with eight stars along the outer edges, they can seat 8 people in total.
To determine how many tables would be needed for 16 people, we need to find a combination of the squares that can accommodate this number.
We can start with the 8-person squares. Since we need a total of 16 people, we would need 16 / 8 = 2 of these squares.
Next, we can check if there are any remaining people. In this case, we have 16 - 2*8 = 0 remaining people.
Therefore, for 16 people, we would only need 2 tables.
Apologies for the confusion caused by the previous incorrect response. Thank you for bringing it to my attention.