adrians latest offering of handmade bracelets on etsy has become an overnight sensation. as a result of the…

adrians latest offering of handmade bracelets on etsy has become an overnight sensation. as a result of the large demand, he is considering stepping up production. as of today, he has made 120 bracelets. he is presently able to create an additional 6 bracelets per day. as of today, 60 bracelets have been purchased. if the current demand continues, an additional 12 bracelets will be sold per day.\n\ndefine a unit for the time. enter a variable for the time and use this variable to write expressions for the number of bracelets made and the number of bracelets sold.\n\n1. how many bracelets will have been made in 14 days?\n\n2. when did adrian start selling the bracelets?\n\n3. at the current rate, in how long will two hundred sixty - four bracelets have been sold?

adrians latest offering of handmade bracelets on etsy has become an overnight sensation. as a result of the large demand, he is considering stepping up production. as of today, he has made 120 bracelets. he is presently able to create an additional 6 bracelets per day. as of today, 60 bracelets have been purchased. if the current demand continues, an additional 12 bracelets will be sold per day.\n\ndefine a unit for the time. enter a variable for the time and use this variable to write expressions for the number of bracelets made and the number of bracelets sold.\n\n1. how many bracelets will have been made in 14 days?\n\n2. when did adrian start selling the bracelets?\n\n3. at the current rate, in how long will two hundred sixty - four bracelets have been sold?

Answer

Explanation:

Step1: Definir la expresión para el número de pulseras hechas

Comenzamos con 120 pulseras hechas y se fabrican 6 pulseras por día. Si $t$ es el número de días transcurridos, la expresión para el número de pulseras hechas $M$ es $M = 120+6t$.

Step2: Calcular el número de pulseras hechas en 14 días

Sustituimos $t = 14$ en la expresión $M = 120+6t$. $M=120 + 6\times14$ $M=120+84$ $M = 204$

Step3: Encontrar cuándo comenzó a vender

Comenzó con 120 pulseras hechas y 60 vendidas. La diferencia es 60 pulseras. Dado que vende 12 pulseras por día, el número de días desde que comenzó a vender $d_1$ se calcula como $d_1=\frac{60}{12}=5$ días atrás.

Step4: Calcular el tiempo para vender 264 pulseras

Comenzó con 60 pulseras vendidas y vende 12 pulseras por día. Sea $t_2$ el tiempo adicional. La ecuación es $264=60 + 12t_2$. Restamos 60 de ambos lados: $264 - 60=12t_2$, es decir $204 = 12t_2$. Dividimos por 12: $t_2=\frac{204}{12}=17$ días.

Answer:

  1. 204 pulseras
  2. Hace 5 días
  3. 17 días