Final answer:
It will take approximately 11.25 years for the CPI to double with an annual inflation rate of 6.4%, as determined by the Rule of 72.
Step-by-step explanation:
To calculate how long it will take for the Consumer Price Index (CPI) to double at an annual inflation rate of 6.4%, we can use the Rule of 72.
This is a simplified formula that estimates the number of years required to double the CPI at a constant annual interest rate, by dividing 72 by the annual rate of inflation.
The formula is: Years to Double = 72 ÷ Inflation Rate
In this case:
Years to Double = 72 ÷ 6.4
This gives us approximately:
Years to Double = 11.25 years
Hence, it will take about 11.25 years for the CPI to double at an annual inflation rate of 6.4%.