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A 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.

Population of Native Species
Year 1 7,950
Year 2 3,460
Year 3 1,380








A.

49.6% and 55.3%

B.

56.5% and 60.1%

C.

52.5% and 63.3%

D.

50.4% and 68.9%

E.

54.3% and 67.6%

Respuesta :

Answer:

Option B

Percent decrease in the native species population between years 1 and 2 is [tex]56.47\\[/tex] %

Percent decrease in the native species population between years 2 and 3 is [tex]60.11\\[/tex] %

Explanation:

Given,

Population of Native Species  

Year 1 -  7,950  

Year 2 -  3,460  

Year 3 -  1,380

Percent decrease in the native species population between any two years is

(Population of base year [tex]- \\[/tex]  Population of next year)[tex]/\\[/tex] (Population of base year) [tex]* 100\\[/tex]

Percent decrease in the native species population between years 1 and 2

[tex]=\frac{ (P_ {year 1} - P_ {year 1})}{P_ {year 1}} * 100\\= \frac{( 7,950 - 3,460)}{7,950} * 100\\= 56.47\\[/tex] %

Percent decrease in the native species population between years 2 and 3

[tex]=\frac{ (P_ {year 2} - P_ {year 3})}{P_ {year 2}} * 100\\= \frac{( 3,460 - 1,380)}{3,460} * 100\\= 60.11\\[/tex] %

Answer:

56.5% and 60.1%

Explanation:

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