Italy is a relatively rich country with per-capita GDP of $28,000. India is a relatively poor with per-capita GDP of only $3,500. However, India is growing rapidly at a growth rate of 5% per year. We want to find how many years it will take for India's per capita GDP to equal Italy's current per-capita GDP of $28,000. How many times must India's per-capita GDP double in order to reach Italy's per-capita GDP?
Italy is a relatively rich country with per-capita GDP of $28,000. India is a relatively poor with per-capita GDP of only $3,500. However, India is growing rapidly at a growth rate of 5% per year. We want to find how many years it will take for India's per capita GDP to equal Italy's current per-capita GDP of $28,000. How many times must India's per-capita GDP double in order to reach Italy's per-capita GDP?
Chapter1: Making Economics Decisions
Section: Chapter Questions
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![### The Wealth of Nations and Economic Growth: Work It Out 1 of 1
Italy is a relatively rich country with a per-capita GDP of $28,000. India is a relatively poor country with a per-capita GDP of only $3,500. However, India is growing rapidly at a growth rate of 5% per year. We want to find out how many years it will take for India's per capita GDP to equal Italy's current per-capita GDP of $28,000.
**How many times must India's per-capita GDP double in order to reach Italy's per-capita GDP?**
India's per-capita GDP must double _____ times.
**Use the rule of 70 to find how many years it will take for India's per-capita GDP to double once at a 5% growth rate.**
Doubling time: _____ years
**How many years will it take for India to reach Italy's current level of GDP per capita?**
It will take _____ years for India to reach Italy's current level of GDP per capita.
---
### Explanation of Terms:
**Rule of 70:**
The Rule of 70 is a way to estimate how long it will take for a quantity to double, given a specific annual growth rate. Simply divide 70 by the annual growth rate to get the doubling time in years.
For example, if the annual growth rate is 5%, the doubling time would be:
\[ \text{Doubling Time} = \frac{70}{5\%} = \frac{70}{5} = 14 \text{ years} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4dc512e6-6b84-462b-90ef-e71773060b9b%2F0eb71614-489c-4359-96de-f67c8198db10%2Ff736d4.jpeg&w=3840&q=75)
Transcribed Image Text:### The Wealth of Nations and Economic Growth: Work It Out 1 of 1
Italy is a relatively rich country with a per-capita GDP of $28,000. India is a relatively poor country with a per-capita GDP of only $3,500. However, India is growing rapidly at a growth rate of 5% per year. We want to find out how many years it will take for India's per capita GDP to equal Italy's current per-capita GDP of $28,000.
**How many times must India's per-capita GDP double in order to reach Italy's per-capita GDP?**
India's per-capita GDP must double _____ times.
**Use the rule of 70 to find how many years it will take for India's per-capita GDP to double once at a 5% growth rate.**
Doubling time: _____ years
**How many years will it take for India to reach Italy's current level of GDP per capita?**
It will take _____ years for India to reach Italy's current level of GDP per capita.
---
### Explanation of Terms:
**Rule of 70:**
The Rule of 70 is a way to estimate how long it will take for a quantity to double, given a specific annual growth rate. Simply divide 70 by the annual growth rate to get the doubling time in years.
For example, if the annual growth rate is 5%, the doubling time would be:
\[ \text{Doubling Time} = \frac{70}{5\%} = \frac{70}{5} = 14 \text{ years} \]
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