A graph titled Number of Members in Each Music Group has Number of Cellists on the x-axis and Number of Violinists on the y-axis. There is 1 cellist for every 8 violinists.

Question

This graph shows a proportional relationship between the number of cello players and the number of violin players in a music group.

What is the constant of proportionality?
40

Answer 1

To find the constant of proportionality in the relationship between the number of cellists and the number of violinists, we can use the information given.

You mentioned that there is 1 cellist for every 8 violinists. This means that for every cellist, there are 8 violinists.

We can express this relationship mathematically. If we denote the number of cellists by \( C \) and the number of violinists by \( V \), we can write:

\[ V = 8C \]

This shows that the number of violinists \( V \) is directly proportional to the number of cellists \( C \), with a constant of proportionality of 8.

Therefore, the constant of proportionality in this relationship is 8, not 40.