Answer:
4
Step-by-step explanation:
Given that:
Number of beads used to make 4 bracelets = 16
Number of bracelets made = [tex]y[/tex]
Number of beads used = [tex]x[/tex]
To find:
The constant of proportionality = ?
Solution:
Number of bracelets made is proportional to Number of beads.
i.e.
[tex]y \propto x[/tex]
OR
[tex]y=k\times x[/tex]
Where [tex]k[/tex] is the constant of proportionality.
We are given that:
when [tex]x = 12, y = 4[/tex]
Putting the values in the above equation:
[tex]4 = k \times 16\\\Rightarrow \bold{k = 4}[/tex]
Therefore, the constant of proportionality is 4.