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

Answer:

The rate at which bracelet maked is 27.3

Step-by-step 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 × $(1+\frac{Rate}{100})^{n}$

Or, The number of bracelets sold on Tuesday =  number of bracelets sold on Monday × $(1+\frac{Rate}{100})^{2.5}$

Or, 22 = 12 × $(1+\frac{Rate}{100})^{2.5}$

Or, $\frac{22}{12}$ =  $(1+\frac{Rate}{100})^{2.5}$

Or, 1.83 =  $(1+\frac{Rate}{100})^{2.5}$

Or, $(1.83)^{\frac{1}{2.5}}$ = 1 + $\frac{Rate}{100}$

Or, 1.273 - 1 =  $\frac{Rate}{100}$

Or, 0.273 × 100 = Rate

∴  Rate = 27.3

Hence The rate at which bracelet maked is 27.3    Answer