The price of 2 liters of milk was R14.99 in 2014. Using a rate of inflation of 6.3% per year, calculate and print each year since 2014 to 2020 with the price of milk in that year, up to and including 2020. Which of the following algorithms will solve this problem statement?a.DeterminePriceIncrease price = 14.99 for k = 2014 to 2020 display “Year: “, k, “ price: R”, price price = 14.99 * 0.063 next kendb.DeterminePriceIncrease for k >= 2020 display “Year: “, k, “ price: R”, price price = price * 1.063 next kendc.DeterminePriceIncrease for k = 2014 to 2020 display “Year: “, k, “ price: R”, price price = 14.99 * 1.063 next kendd.DeterminePriceIncrease price = 14.99 for k = 2014 to 2020 display “Year: “, k, “ price: R”, price price = 14.99 * 1.063 next kend
Question
The price of 2 liters of milk was R14.99 in 2014. Using a rate of inflation of 6.3% per year, calculate and print each year since 2014 to 2020 with the price of milk in that year, up to and including 2020. Which of the following algorithms will solve this problem statement?a.DeterminePriceIncrease price = 14.99 for k = 2014 to 2020 display “Year: “, k, “ price: R”, price price = 14.99 * 0.063 next kendb.DeterminePriceIncrease for k >= 2020 display “Year: “, k, “ price: R”, price price = price * 1.063 next kendc.DeterminePriceIncrease for k = 2014 to 2020 display “Year: “, k, “ price: R”, price price = 14.99 * 1.063 next kendd.DeterminePriceIncrease price = 14.99 for k = 2014 to 2020 display “Year: “, k, “ price: R”, price price = 14.99 * 1.063 next kend
Solution
Para resolver este problema, debemos calcular el precio de la leche cada año desde 2014 hasta 2020, aplicando una tasa de inflación del 6.3% anual. Vamos a analizar cada uno de los algoritmos propuestos:
a.
DeterminePriceIncrease
price = 14.99
for k = 2014 to 2020
display “Year: “, k, “ price: R”, price
price = 14.99 * 0.063
next k
Este algoritmo no es correcto porque siempre multiplica el precio inicial (14.99) por 0.063, lo cual no refleja el aumento acumulativo año tras año.
b.
DeterminePriceIncrease
for k >= 2020
display “Year: “, k, “ price: R”, price
price = price * 1.063
next k
Este algoritmo no es correcto porque no inicializa el precio y no tiene un rango de años definido. Además, la condición for k >= 2020 no es válida.
c.
DeterminePriceIncrease
for k = 2014 to 2020
display “Year: “, k, “ price: R”, price
price = 14.99 * 1.063
next k
Este algoritmo no es correcto porque siempre multiplica el precio inicial (14.99) por 1.063, sin acumular el aumento año tras año.
d.
DeterminePriceIncrease
price = 14.99
for k = 2014 to 2020
display “Year: “, k, “ price: R”, price
price = price * 1.063
next k
Este algoritmo es correcto porque inicializa el precio en 14.99 y luego, en cada iteración, multiplica el precio actual por 1.063, acumulando así el aumento año tras año.
Por lo tanto, la respuesta correcta es:
d.
DeterminePriceIncrease
price = 14.99
for k = 2014 to 2020
display “Year: “, k, “ price: R”, price
price = price * 1.063
next k
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