If the dog population grows by 25.7% per year, then what is the growth factor? (also called growth multiplier)

The growth factor, also known as the growth multiplier, is calculated by adding 1 to the growth rate (expressed as a decimal).

Given the growth rate is 25.7%, convert it to a decimal by dividing by 100:

\[
\frac{25.7}{100} = 0.257
\]

Now, add 1 to get the growth factor:

\[
1 + 0.257 = 1.257
\]

Thus, the growth factor is **1.257**.

Would you like further details or have any questions?

Here are five related questions to expand on this:
1. How would you calculate the population after a certain number of years using the growth factor?
2. What is the difference between exponential growth and linear growth?
3. How do you calculate the time it takes for the population to double given the growth rate?
4. How would the growth factor change if the growth rate were negative?
5. How is compound interest related to growth factors in populations?

**Tip**: The growth factor is particularly useful in exponential growth problems, as it simplifies calculations over multiple periods.

If the dog population grows by 25.7% per year, then what is the growth factor?

Learn how to calculate the growth factor when a population grows by 25.7% annually. This step-by-step guide covers the essential exponential growth concepts, percentage to decimal conversion, and the formula for growth factor calculation. Ideal for students in Grades 9-11.

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