A recent survey conducted in 2023 by the census bureau etermined that the average growth rate for a small town with a population of 35,250 in the northeast united states was approximately 0.65%. what is the doubling time of the population?

To find the **doubling time** of the population, we can use the **rule of 70**, which provides a simple way to estimate how long it takes for a population to double when growing at a constant rate.

The formula for doubling time is:

\[
\text{Doubling Time} = \frac{70}{\text{Growth Rate (\%)}}.
\]

In this case, the growth rate is given as **0.65%**.

\[
\text{Doubling Time} = \frac{70}{0.65} \approx 107.69 \text{ years}.
\]

Therefore, the population will double in approximately **107.7 years**.

Would you like more details on this method or its applications?

Here are 5 related questions:
1. What happens to the doubling time if the growth rate increases?
2. How does the rule of 70 compare with other methods of estimating population growth?
3. Can this rule be applied to other types of growth, such as economic growth or interest rates?
4. What assumptions are we making when using this formula for population growth?
5. How would the population size change after a certain number of years at this growth rate?

**Tip**: The rule of 70 is a quick estimation tool, but precise models can give slightly different results depending on the growth pattern (constant vs. variable growth).

A recent survey conducted in 2023 by the census bureau determined that the average growth rate for a small town with a population of 35,250 in the northeast United States was approximately 0.65%. What is the doubling time of the population?

Discover how to calculate the doubling time of a population with a growth rate of 0.65% using the Rule of 70. Learn about the mathematical formula and concepts behind exponential growth and population modeling. This solution is ideal for high school students studying population dynamics or exponential growth in Grades 9-12.

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