Let's analyze the given data and determine the percent decrease in the population of the native species between Year 1 and Year 2, and then between Year 2 and Year 3.
### Step-by-Step Solution
1. Initial Data:
- Population in Year 1: 7,950
- Population in Year 2: 3,460
- Population in Year 3: 1,380
2. Calculate the Percent Decrease from Year 1 to Year 2:
[tex]\[
\text{Percent Decrease from Year 1 to Year 2} = \frac{\text{Population Year 1} - \text{Population Year 2}}{\text{Population Year 1}} \times 100
\][/tex]
Substituting the numbers:
[tex]\[
\text{Percent Decrease from Year 1 to Year 2} = \frac{7950 - 3460}{7950} \times 100
\][/tex]
Simplifying:
[tex]\[
\text{Percent Decrease from Year 1 to Year 2} = \frac{4490}{7950} \times 100 \approx 56.48\%
\][/tex]
3. Calculate the Percent Decrease from Year 2 to Year 3:
[tex]\[
\text{Percent Decrease from Year 2 to Year 3} = \frac{\text{Population Year 2} - \text{Population Year 3}}{\text{Population Year 2}} \times 100
\][/tex]
Substituting the numbers:
[tex]\[
\text{Percent Decrease from Year 2 to Year 3} = \frac{3460 - 1380}{3460} \times 100
\][/tex]
Simplifying:
[tex]\[
\text{Percent Decrease from Year 2 to Year 3} = \frac{2080}{3460} \times 100 \approx 60.12\%
\][/tex]
4. Identify the Correct Answer Choice:
- From our calculations, the percent decrease from Year 1 to Year 2 is approximately [tex]\(56.48\%\)[/tex].
- The percent decrease from Year 2 to Year 3 is approximately [tex]\(60.12\%\)[/tex].
Given these results, the correct answer matches the values calculated:
B. [tex]$56.5 \%$[/tex] and [tex]$60.1 \%$[/tex]
So, the correct answer is:
[tex]\[
\text{B. } 56.5\% \text{ and } 60.1\%
\][/tex]
