Two examples of configuration are shown here.

Question

Two examples of configuration are shown here.

Number of tables: 2

Number of tables: 3

a). Complete the following sentence to interpret the rate of change in the number of chairs: Every time one table is added, ...

b). Complete the following table:

Number of Tables Number of

Arranged in a Line Chairs

1 4

2

3

4

5

6

10

11

c). Is there a linear relationship between the number of tables and the number of chairs? Why or why not?

Answer 1

Hi Yuliya,

b). Complete the following table:

Number of Tables Number of Chairs

1 table, 4 chairs

2 tables, 4(2) = 8 chairs

3 tables, 4(3) = 12 chairs

4 tables, 4(4) = 16 chairs

5 tables, 4(5) = 20 chairs

6 tables, 4(6) = 24 chairs

10 tables, 4(10) = 40 chairs

11 tables, 4(11) = 44 chairs

c). Is there a linear relationship between the number of tables and the number of chairs? Why or why not?

Yes. Because there are 4 chairs for each table, each additional table will require four more chairs. Y(chairs) will increase by 4 every time X(tables) increases by 1. There is a linear relationship (y=mx+b) with a slope equal to four (m=4), y=4x.