To compare the growth rate of deer from 1 to 3 years and from 5 to 10 years, we can calculate the percentage increases in the deer population over those specific time intervals.
1. Calculate growth from year 1 to year 3:
- At year 1, the number of deer \( y_1 = 221 \)
- At year 3, the number of deer \( y_3 = 373 \)
The increase in deer from year 1 to year 3 is:
\[ y_3 - y_1 = 373 - 221 = 152 \]
The percentage increase is calculated as follows:
\[ \text{Percentage Increase} = \left( \frac{\text{Increase}}{\text{Initial Value}} \right) \times 100 \]
Substituting values:
\[ \text{Percentage Increase} = \left( \frac{152}{221} \right) \times 100 \approx 68.87% \]
2. Calculate growth from year 5 to year 10:
- At year 5, the number of deer \( y_5 = 631 \)
- At year 10, the number of deer \( y_{10} = 2344 \)
The increase in deer from year 5 to year 10 is:
\[ y_{10} - y_5 = 2344 - 631 = 1713 \]
The percentage increase is calculated as follows:
\[ \text{Percentage Increase} = \left( \frac{1713}{631} \right) \times 100 \approx 271.56% \]
Comparison of Growth Rates:
- The growth rate from year 1 to year 3 is approximately 68.87%.
- The growth rate from year 5 to year 10 is approximately 271.56%.
Conclusion: The growth rate of deer from year 5 to year 10 (approximately 271.56%) is significantly higher than the growth rate from year 1 to year 3 (approximately 68.87%). Thus, the population of deer is experiencing much more rapid growth in the later years compared to the earlier years.