To determine the percent decrease in the native species population between years 1 and 2 and between years 2 and 3, we need to follow these steps:
1. Calculate the percent decrease from Year 1 to Year 2:
- The population in Year 1 is 7,950.
- The population in Year 2 is 3,460.
- The decrease in population from Year 1 to Year 2 is:
[tex]\[
7950 - 3460 = 4490
\][/tex]
- To find the percent decrease, divide the decrease by the population in Year 1 and multiply by 100:
[tex]\[
\text{Percent Decrease 1 to 2} = \left( \frac{4490}{7950} \right) \times 100
= 56.5\%
\][/tex]
2. Calculate the percent decrease from Year 2 to Year 3:
- The population in Year 2 is 3,460.
- The population in Year 3 is 1,380.
- The decrease in population from Year 2 to Year 3 is:
[tex]\[
3460 - 1380 = 2080
\][/tex]
- To find the percent decrease, divide the decrease by the population in Year 2 and multiply by 100:
[tex]\[
\text{Percent Decrease 2 to 3} = \left( \frac{2080}{3460} \right) \times 100
= 60.1\%
\][/tex]
Given these calculations, we have:
- The percent decrease in the native species population from Year 1 to Year 2 is 56.5%.
- The percent decrease in the native species population from Year 2 to Year 3 is 60.1%.
Therefore, the correct answer is:
B. [tex]$56.5 \%$[/tex] and [tex]$60.1 \%$[/tex].
