Question

Olivia is making bead bracelets for her friends. She can make 3 bracelets in 15 minutes.Find the constant of proportionality in terms of minutes per bracelet.

Answer 1

The constant of proportionality is 5 minutes per bracelet

Explanation:

If x and y are proportion, then y = k x, where

• k is the constant of proportionality

• We can find k by dividing y by x ⇒ k =
  `(y)/(x)`

Let us solve our question

∵ Olivia is making bead bracelets for her friends

∵ She can make 3 bracelets in 15 minutes

We need to find the constant of proportionality in terms of minutes per bracelet, which means y represents the minutes and x represents the bracelet

∴ y = the time in minutes

∴ x = the number of bracelets

∵ y proportion with x

∴ k =
`(y)/(x)`

∵ y = 15 and x = 3

∴ k =
`(15)/(3)`

∴ k = 5

∴ The constant of proportionality is 5 minutes per bracelet