Question

Kim is making jewelry to sell. Monday she made 12 bracelets. On Tuesday she worked 2.5 hours and has a total of 22 bracelets. What is the unit rate of the time it takes her to make each bracelet.

Answer 1

The rate at which bracelet maked is 27.3

Explanation:

Given as :

The number of bracelets sold on Monday = 12

The number of bracelets sold on Tuesday = 22

The Time period of work on Tuesday = 2.5 hours

Now,

The quantity of bracelets after n hours = Initial quantity of bracelets ×
`(1+(Rate)/(100))^(n)`

Or, The number of bracelets sold on Tuesday = number of bracelets sold on Monday ×
`(1+(Rate)/(100))^(2.5)`

Or, 22 = 12 ×
`(1+(Rate)/(100))^(2.5)`

Or,
`(22)/(12)` =
`(1+(Rate)/(100))^(2.5)`

Or, 1.83 =
`(1+(Rate)/(100))^(2.5)`

Or,
`(1.83)^{(1)/(2.5)}` = 1 +
`(Rate)/(100)`

Or, 1.273 - 1 =
`(Rate)/(100)`

Or, 0.273 × 100 = Rate

∴ Rate = 27.3

Hence The rate at which bracelet maked is 27.3 Answer