drag each tile to the correct box. the cpi basket price for two consecutive years in five different…

drag each tile to the correct box. the cpi basket price for two consecutive years in five different economies are given. determine the rate of inflation for each economy. then order the tiles from least to greatest inflation rate. year 1 = $73.00 year 2 = $74.30 year 1 = $75.00 year 2 = $76.15 year 1 = $88.00 year 2 = $89.25 year 1 = $72.50 year 2 = $73.75 year 1 = $79.00 year 2 = $80.25

drag each tile to the correct box. the cpi basket price for two consecutive years in five different economies are given. determine the rate of inflation for each economy. then order the tiles from least to greatest inflation rate. year 1 = $73.00 year 2 = $74.30 year 1 = $75.00 year 2 = $76.15 year 1 = $88.00 year 2 = $89.25 year 1 = $72.50 year 2 = $73.75 year 1 = $79.00 year 2 = $80.25

Answer

Explanation:

Step1: Recall inflation - rate formula

The formula for the inflation rate is $\text{Inflation Rate}=\frac{CPI_{2}-CPI_{1}}{CPI_{1}}\times100%$, where $CPI_{1}$ is the CPI in year 1 and $CPI_{2}$ is the CPI in year 2.

Step2: Calculate inflation rate for first economy

For Year 1 = $$73.00$ and Year 2 = $$74.30$, $\text{Inflation Rate}_1=\frac{74.30 - 73.00}{73.00}\times100%=\frac{1.3}{73.00}\times100%\approx1.78%$.

Step3: Calculate inflation rate for second economy

For Year 1 = $$75.00$ and Year 2 = $$76.15$, $\text{Inflation Rate}_2=\frac{76.15 - 75.00}{75.00}\times100%=\frac{1.15}{75.00}\times100%\approx1.53%$.

Step4: Calculate inflation rate for third economy

For Year 1 = $$88.00$ and Year 2 = $$89.25$, $\text{Inflation Rate}_3=\frac{89.25 - 88.00}{88.00}\times100%=\frac{1.25}{88.00}\times100%\approx1.42%$.

Step5: Calculate inflation rate for fourth economy

For Year 1 = $$72.50$ and Year 2 = $$73.75$, $\text{Inflation Rate}_4=\frac{73.75 - 72.50}{72.50}\times100%=\frac{1.25}{72.50}\times100%\approx1.72%$.

Step6: Calculate inflation rate for fifth economy

For Year 1 = $$79.00$ and Year 2 = $$80.25$, $\text{Inflation Rate}_5=\frac{80.25 - 79.00}{79.00}\times100%=\frac{1.25}{79.00}\times100%\approx1.58%$.

Step7: Order the inflation - rates

Comparing the values: $1.42%\lt1.53%\lt1.58%\lt1.72%\lt1.78%$. The order of the tiles from least to greatest inflation rate: Year 1 = $$88.00$, Year 2 = $$89.25$; Year 1 = $$75.00$, Year 2 = $$76.15$; Year 1 = $$79.00$, Year 2 = $$80.25$; Year 1 = $$72.50$, Year 2 = $$73.75$; Year 1 = $$73.00$, Year 2 = $$74.30$

Answer:

Year 1 = $$88.00$, Year 2 = $$89.25$; Year 1 = $$75.00$, Year 2 = $$76.15$; Year 1 = $$79.00$, Year 2 = $$80.25$; Year 1 = $$72.50$, Year 2 = $$73.75$; Year 1 = $$73.00$, Year 2 = $$74.30$