Let's analyze the given problem step-by-step.
The population of the native species at different years is given as:
- Year 1: 7,950
- Year 2: 3,460
- Year 3: 1,380
To find the percent decrease in population, we will follow these steps:
1. Calculate the percent decrease in population from Year 1 to Year 2:
[tex]\[
\text{Percent Decrease (Year 1 to Year 2)} = \left( \frac{\text{Population in Year 1} - \text{Population in Year 2}}{\text{Population in Year 1}} \right) \times 100
\][/tex]
Plugging in the values:
[tex]\[
\text{Percent Decrease (Year 1 to Year 2)} = \left( \frac{7950 - 3460}{7950} \right) \times 100 \approx 56.48\%
\][/tex]
2. Calculate the percent decrease in population from Year 2 to Year 3:
[tex]\[
\text{Percent Decrease (Year 2 to Year 3)} = \left( \frac{\text{Population in Year 2} - \text{Population in Year 3}}{\text{Population in Year 2}} \right) \times 100
\][/tex]
Plugging in the values:
[tex]\[
\text{Percent Decrease (Year 2 to Year 3)} = \left( \frac{3460 - 1380}{3460} \right) \times 100 \approx 60.12\%
\][/tex]
Given these calculations, the percent decreases in the native species population are approximately:
- From Year 1 to Year 2: [tex]\(56.48\%\)[/tex]
- From Year 2 to Year 3: [tex]\(60.12\%\)[/tex]
These results match answer choice B:
B. [tex]\(56.5 \% \text{ and } 60.1 \% \)[/tex]
Thus, the correct answer is: [tex]\(56.5\% \)[/tex] and [tex]\(60.1\%\)[/tex].
