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The initial number of foxes in the forest is 500, and the population increases by 20% each year. We can calculate the number of foxes after 1 year and 2 years by using the formula for exponential growth:

\[
\text{Population after } t \text{ years} = P_0 \times (1 + r)^t
\]

Where:
- \( P_0 \) is the initial population (500 foxes),
- \( r \) is the growth rate (20% or 0.20),
- \( t \) is the number of years.

### a) Number of foxes after 1 year:

For \( t = 1 \):

\[
P_1 = 500 \times (1 + 0.20)^1 = 500 \times 1.20 = 600 \text{ foxes}
\]

### b) Number of foxes after 2 years:

For \( t = 2 \):

\[
P_2 = 500 \times (1 + 0.20)^2 = 500 \times 1.44 = 720 \text{ foxes}
\]

Thus, after 1 year, there will be **600 foxes**, and after 2 years, there will be **720 foxes** in the forest.

Would you like further details or clarification?

Here are 5 related questions for practice:
1. What would the population be after 3 years if the growth rate remains 20%?
2. How many foxes would there be after 5 years?
3. What if the initial population were 600 foxes instead of 500? How would that affect the results?
4. If the growth rate were reduced to 15%, how many foxes would there be after 2 years?
5. How many years would it take for the population to reach 1000 foxes?

**Tip:** To calculate population growth over multiple years, use the formula \( P_t = P_0 \times (1 + r)^t \), where \( r \) is the growth rate in decimal form.

The number of foxes in a forest increases by 20% each year. This year, there are 500 foxes in the forest. Calculate the number of foxes that there will be in the forest a) after 1 year b) after 2 years.

Learn how to calculate the population growth of foxes in a forest where the population increases by 20% each year. The current population is 500 foxes, and we calculate the number of foxes after 1 year and 2 years using exponential growth formulas. Suitable for students in Grades 7-9.

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