Math Problem Statement
The Consumer Price Index (CPI) was 150.3 in the year 1995 and 190.7 in 2005. Calculate the rate of inflation to the nearest hundredth of a percent.
Solution
The formula to calculate the rate of inflation between two years is:
Using the given values:
- CPI in 2005 (Final Year) = 190.7
- CPI in 1995 (Initial Year) = 150.3
Substituting into the formula:
Let's calculate that.The rate of inflation from 1995 to 2005 is approximately 26.88%.
Would you like more details on the calculation or have any questions?
Here are 5 related questions for further exploration:
- How does inflation impact purchasing power over time?
- What is the difference between nominal and real inflation rates?
- How is CPI calculated for a particular year?
- What factors can influence changes in the CPI?
- How does inflation differ from deflation?
Tip: When calculating inflation over multiple years, it’s important to adjust for compounding effects if you’re measuring year-by-year inflation rates.
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Math Problem Analysis
Mathematical Concepts
Percentage Calculation
Consumer Price Index (CPI)
Inflation Rate
Formulas
Inflation Rate = ((CPI in Final Year - CPI in Initial Year) / CPI in Initial Year) × 100
Theorems
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Suitable Grade Level
Grades 9-12
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