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?

Respuesta :

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.