The completed table with the total number of chairs (c) for each number of classrooms (n):
n c
6 108
8 144
9 156
10 176
Here's how we calculated the total number of chairs for each number of classrooms:
Formula: We can use the formula c = 17n + 16, where c is the total number of chairs, n is the number of classrooms, and 17 is the number of chairs needed per classroom and 16 is the number of chairs needed for the teacher's lounge.
Calculation:
For n = 6: c = 17 * 6 + 16 = 102 + 16 = 108
For n = 8: c = 17 * 8 + 16 = 136 + 16 = 144
For n = 9: c = 17 * 9 + 16 = 153 + 16 = 156
For n = 10: c = 17 * 10 + 16 = 170 + 16 = 176
Therefore, the table accurately shows the relationship between the number of classrooms and the total number of chairs needed for the school's order.