Math Problem Statement
Solution
Let's break down the given data from the image and analyze the problem:
Given Data:
-
In 2006:
- Price index = 100
- Real GDP = $1,000
-
In 2010:
- Price index = 110
- Nominal GDP = $2,200
To Determine:
- Nominal GDP in 2006
- Real GDP in 2010
Key Concept:
The relationship between Nominal GDP, Real GDP, and the Price Index can be expressed as:
Thus, if we know the Real GDP and the Price Index, we can calculate the Nominal GDP, and vice versa.
Step 1: Nominal GDP in 2006
We already know the Real GDP in 2006 is $1,000 and the price index is 100. Using the formula:
So, the Nominal GDP in 2006 is $1,000.
Step 2: Real GDP in 2010
For 2010, we know the nominal GDP ($2,200) and the price index (110). We can rearrange the formula to find the real GDP:
So, the Real GDP in 2010 is $2,000.
Conclusion:
The correct option based on the analysis is B:
- Nominal GDP in 2006 = $1,000
- Real GDP in 2010 = $2,000
Would you like further clarification on any part of this solution?
Here are 5 related questions to expand your understanding:
- How do changes in the price index affect the real GDP over time?
- What is the significance of nominal vs. real GDP in economic analysis?
- How do economists adjust for inflation when comparing GDP across years?
- Can the price index ever decrease, and what does that imply for GDP calculations?
- How is the GDP deflator different from the Consumer Price Index (CPI)?
Tip: Always remember that nominal GDP is measured at current market prices, while real GDP is adjusted for inflation using a base-year price level.
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Math Problem Analysis
Mathematical Concepts
Macroeconomics
GDP calculation
Price Index
Formulas
Nominal GDP = (Real GDP × Price Index) / 100
Real GDP = (Nominal GDP × 100) / Price Index
Theorems
GDP relationship with inflation
Suitable Grade Level
Grades 10-12 or Introductory College Economics
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