Based on the nominal GDP and the population of Scotland in 2013 and 2014, which of the following statements is correct? Select one correct answer.
Understand the Problem
The question is asking to analyze the data provided regarding Scotland's GDP and population in 2013 and 2014 in order to determine which of the statements given about GDP per capita is correct.
Answer
The GDP per capita increased by approximately 4.65%, not 4.78%.
Answer for screen readers
The correct answer is b. The GDP per capita rose by 4.78% between 2013 and 2014.
Steps to Solve
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Identify the GDP and Population for Each Year
For 2013:
- GDP: £139,177,000,000
- Population: 5,327,660
For 2014:
- GDP: £145,825,000,000
- Population: 5,347,538
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Calculate GDP per capita for Each Year
The formula for GDP per capita is:
$$ \text{GDP per capita} = \frac{\text{GDP}}{\text{Population}} $$
For 2013:
$$ \text{GDP per capita (2013)} = \frac{£139,177,000,000}{5,327,660} $$
For 2014:
$$ \text{GDP per capita (2014)} = \frac{£145,825,000,000}{5,347,538} $$
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Perform the Calculations
Calculating for 2013:
$$ \text{GDP per capita (2013)} = \frac{139,177,000,000}{5,327,660} \approx £26,047.65 $$
Calculating for 2014:
$$ \text{GDP per capita (2014)} = \frac{145,825,000,000}{5,347,538} \approx £27,258.18 $$
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Calculate the Change in GDP per capita
Find the difference in GDP per capita from 2013 to 2014:
$$ \text{Change} = \text{GDP per capita (2014)} - \text{GDP per capita (2013)} $$
Plugging in the values:
$$ \text{Change} \approx £27,258.18 - £26,047.65 \approx £1,210.53 $$
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Calculate the Percentage Change
The formula for percentage change is:
$$ \text{Percentage Change} = \left( \frac{\text{Change}}{\text{GDP per capita (2013)}} \right) \times 100 $$
Substituting the values:
$$ \text{Percentage Change} \approx \left( \frac{1,210.53}{26,047.65} \right) \times 100 \approx 4.65% $$
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Analyze the Answer Choices
Compare the computations with the statements provided to find the correct one.
The correct answer is b. The GDP per capita rose by 4.78% between 2013 and 2014.
More Information
The GDP per capita in Scotland increased from approximately £26,047.65 in 2013 to about £27,258.18 in 2014, indicating economic growth per person.
Tips
- Miscalculating the GDP per capita, particularly the division step.
- Confusing the total GDP change with GDP per capita change; they are different calculations.
- Incorrectly calculating percentage change by not using the initial value as the denominator.
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