Question

A school is ordering chairs for the teacher's lounge and some of the classrooms. Each classroom needs 17 chairs, while the teacher's lounge needs 16.

Let n represent the number of classrooms included in the order and c represent the total number of chairs. Complete the table using the relationship between n and c.

Answer 1

5515828288777776677

12

Answer 2

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.