the prices of consumer goods do not always exactly follow the cpi. the following chart shows several…

the prices of consumer goods do not always exactly follow the cpi. the following chart shows several consumer items, along with their respective prices in 1983 and today.\n| item | price in 1983 ($) | current price ($) |\n|--|--|--|\n| pair of boots | 67.45 | 126.85 |\n| hair dryer | 15.25 | 29.95 |\n| box of tissues | 1.15 | 2.25 |\n| toaster | 22.85 | 44.25 |\nusing the prices shown on this chart, which of the following is a reasonable estimate of the current cpi?\n a. 208\n b. 195\n c. 180\n d. 173

the prices of consumer goods do not always exactly follow the cpi. the following chart shows several consumer items, along with their respective prices in 1983 and today.\n| item | price in 1983 ($) | current price ($) |\n|--|--|--|\n| pair of boots | 67.45 | 126.85 |\n| hair dryer | 15.25 | 29.95 |\n| box of tissues | 1.15 | 2.25 |\n| toaster | 22.85 | 44.25 |\nusing the prices shown on this chart, which of the following is a reasonable estimate of the current cpi?\n a. 208\n b. 195\n c. 180\n d. 173

Answer

Explanation:

Step1: Calcular el índice de precios para cada artículo

El índice de precios para un artículo se calcula como $\frac{\text{Precio actual}}{\text{Precio en 1983}}\times100$. Para las botas: $\frac{126.85}{67.45}\times100\approx188.07$. Para el secador de cabello: $\frac{29.95}{15.25}\times100\approx196.4$. Para la caja de pañuelos: $\frac{2.25}{1.15}\times100\approx195.65$. Para la tostadora: $\frac{44.25}{22.85}\times100\approx193.65$.

Step2: Calcular el promedio de los índices de precios

Promedio $=\frac{188.07 + 196.4+195.65 + 193.65}{4}$ $=\frac{773.77}{4}=193.4425\approx195$.

Answer:

b. 195