To compare the growth rates of the deer population from 1–3 years and from 5–10 years, we can calculate the percentage growth for both intervals.
Growth from 1 to 3 years:
- Year 1 Deer Count: \( y(1) = 221 \)
- Year 3 Deer Count: \( y(3) = 373 \)
Change in Deer Population: \[ \text{Change} = y(3) - y(1) = 373 - 221 = 152 \]
Percentage Growth: \[ \text{Percentage Growth} = \left( \frac{\text{Change}}{\text{Initial Count}} \right) \times 100 = \left( \frac{152}{221} \right) \times 100 \approx 68.8% \]
Growth from 5 to 10 years:
- Year 5 Deer Count: \( y(5) = 631 \)
- Year 10 Deer Count: \( y(10) = 2344 \)
Change in Deer Population: \[ \text{Change} = y(10) - y(5) = 2344 - 631 = 1713 \]
Percentage Growth: \[ \text{Percentage Growth} = \left( \frac{\text{Change}}{\text{Initial Count}} \right) \times 100 = \left( \frac{1713}{631} \right) \times 100 \approx 271.1% \]
Summary:
- Growth from 1 to 3 years: approximately 68.8%
- Growth from 5 to 10 years: approximately 271.1%
Conclusion:
The growth rate of deer from 5 to 10 years (approximately 271.1%) is significantly higher than the growth rate from 1 to 3 years (approximately 68.8%).