select the correct answer.\na group of scientists studied the invasion of a species in an area and its…

select the correct answer.\na group of scientists studied the invasion of a species in an area and its effect on the population of a native species. study the given data and determine the percent decrease in the native species population between years 1 and 2 and years 2 and 3.\n| | population of native species |\n|----|----|\n| year 1 | 7,950 |\n| year 2 | 3,460 |\n| year 3 | 1,380 |\n\na. 49.6% and 55.3%\nb. 56.5% and 60.1%\nc. 52.5% and 63.3%\nd. 50.4% and 68.9%\ne. 54.3% and 67.6%

select the correct answer.\na group of scientists studied the invasion of a species in an area and its effect on the population of a native species. study the given data and determine the percent decrease in the native species population between years 1 and 2 and years 2 and 3.\n| | population of native species |\n|----|----|\n| year 1 | 7,950 |\n| year 2 | 3,460 |\n| year 3 | 1,380 |\n\na. 49.6% and 55.3%\nb. 56.5% and 60.1%\nc. 52.5% and 63.3%\nd. 50.4% and 68.9%\ne. 54.3% and 67.6%

Answer

Explanation:

Step1: Calculate percent - decrease from year 1 to year 2

The formula for percent decrease is $\text{Percent Decrease}=\frac{\text{Initial Value}-\text{Final Value}}{\text{Initial Value}}\times100%$. Here, the initial value (population in year 1) is $7950$ and the final value (population in year 2) is $3460$. So, $\text{Percent Decrease}_1=\frac{7950 - 3460}{7950}\times100%=\frac{4490}{7950}\times100%\approx0.565\times100% = 56.5%$.

Step2: Calculate percent - decrease from year 2 to year 3

The initial value (population in year 2) is $3460$ and the final value (population in year 3) is $1380$. So, $\text{Percent Decrease}_2=\frac{3460 - 1380}{3460}\times100%=\frac{2080}{3460}\times100%\approx0.601\times100%=60.1%$.

Answer:

B. 56.5% and 60.1%