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:The rate at which bracelet maked is 27.3Step-by-step explanation:Given as :The number of bracelets sold on Monday = 12 The number of bracelets sold on Tuesday = 22The Time period of work on Tuesday  = 2.5 hours Now, The quantity of bracelets after n hours = Initial quantity of bracelets × [tex](1+\frac{Rate}{100})^{n}[/tex]Or, The number of bracelets sold on Tuesday =  number of bracelets sold on Monday × [tex](1+\frac{Rate}{100})^{2.5}[/tex]Or, 22 = 12 × [tex](1+\frac{Rate}{100})^{2.5}[/tex] Or, [tex]\frac{22}{12}[/tex] =  [tex](1+\frac{Rate}{100})^{2.5}[/tex] Or, 1.83 =  [tex](1+\frac{Rate}{100})^{2.5}[/tex] Or, [tex](1.83)^{\frac{1}{2.5}}[/tex] = 1 + [tex]\frac{Rate}{100}[/tex] Or, 1.273 - 1 =  [tex]\frac{Rate}{100}[/tex] Or, 0.273 × 100 = Rate ∴  Rate = 27.3 Hence The rate at which bracelet maked is 27.3    Answer