If the population of Europe grew at the rate of 0.72% annually, what would be the doubling time?
Understand the Problem
The question is asking about calculating the doubling time for the population of Europe based on an annual growth rate of 0.72%. The approach involves using the formula for doubling time in exponential growth, which is typically calculated using the rule of 70 or the natural logarithm.
Answer
The doubling time is approximately 97.22 years.
Answer for screen readers
The doubling time for the population of Europe, given a growth rate of 0.72% annually, is approximately 97.22 years.
Steps to Solve
- Identify the Formula for Doubling Time
The doubling time can be calculated using the formula: $$ T = \frac{70}{r} $$ where ( T ) is the doubling time in years, and ( r ) is the growth rate expressed as a percentage.
- Convert the Growth Rate
For this problem, the growth rate ( r ) is 0.72%. Thus: $$ r = 0.72 $$
- Calculate the Doubling Time
Now we substitute the growth rate into the formula: $$ T = \frac{70}{0.72} $$
- Perform the Calculation
Calculating we have: $$ T \approx 97.22 $$ years
The doubling time for the population of Europe, given a growth rate of 0.72% annually, is approximately 97.22 years.
More Information
This result shows how long it would take for the population to double at the given growth rate. Understanding doubling time is crucial for demographic studies and resource planning.
Tips
- Confusing the growth rate as a decimal rather than a percentage.
- Using the wrong formula for doubling time; ensure to use the correct one.
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