Question

All members of the chess club must pay $5 each year in membership dues. The number of members, m, is proportional to the amount collected in dues each year, d. Which equation shows this relationship? *

Answer 1

The equation shows this relationship is d = 5m

Solution:

Given that, All members of the chess club must pay $5 each year in membership dues

The number of members, m, is proportional to the amount collected in dues each year, d

Let "m" be the number of members

Let "d" be the amount collected in dues each year

From given statement,

Amount collected in 1 year for 1 member = $ 5

Then for "m" members,

Amount collected in 1 year for "m" member = 5m

d = 5m

`m = (d)/(5)`

Where 1/5 represents the constant

`m \propto d`

So, number of members, m, is proportional to the amount collected in dues each year, d

Thus the equation shows this relationship is d = 5m