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

Answer:

4

Step-by-step 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

$y=k\times x$

Where $k$ is the constant of proportionality.

We are given that:

when $x = 12, y = 4$

Putting the values in the above equation:

$4 = k \times 16\\\Rightarrow \bold{k = 4}$

Therefore, the constant of proportionality is 4.