At a restaurant, the number of chairs, y, is always proportional to the number of tables, x. In one section of the restaurant, there are 54 chairs and 9 tables. What is the constant of proportionality in this relationship?

A.
5
B.
1/6

C.
5/6

D.
6

B. 1/6

Explanation:

To find the constant of proportionality, we need to determine how many chairs there are per table.

Given that there are 54 chairs and 9 tables, the proportionality constant would be calculated as follows:

54 chairs / 9 tables = 6 chairs per table

This means that for every 1 table, there are 6 chairs. Therefore, the constant of proportionality is 1/6.