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:

Inflation Rate=(CPI in Final YearCPI in Initial YearCPI in Initial Year)×100\text{Inflation Rate} = \left( \frac{\text{CPI in Final Year} - \text{CPI in Initial Year}}{\text{CPI in Initial Year}} \right) \times 100

Using the given values:

  • CPI in 2005 (Final Year) = 190.7
  • CPI in 1995 (Initial Year) = 150.3

Substituting into the formula:

Inflation Rate=(190.7150.3150.3)×100\text{Inflation Rate} = \left( \frac{190.7 - 150.3}{150.3} \right) \times 100

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:

  1. How does inflation impact purchasing power over time?
  2. What is the difference between nominal and real inflation rates?
  3. How is CPI calculated for a particular year?
  4. What factors can influence changes in the CPI?
  5. 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