Question

It takes 16 beads to make 4 bracelets. What is the constant of proportionality that relates the number of bracelets made, y, to the number of beads used, x?

Answer 1

4

Explanation:

Given that:

Number of beads used to make 4 bracelets = 16

Number of bracelets made =
`y`

Number of beads used =
`x`

To find:

The constant of proportionality = ?

Solution:

Number of bracelets made is proportional to Number of beads.

i.e.

`y \propto x`

OR

`y=k* x`

Where
`k` is the constant of proportionality.

We are given that:

when
`x = 12, y = 4`

Putting the values in the above equation:

`4 = k * 16\\\Rightarrow \bold{k = 4}`

Therefore, the constant of proportionality is 4.