# Which of the following samples has the greatest population density? a. 125,000 organisms in 2.5 mi2028-02-04-03-00_files/i0170000.jpg b. 13,000 organisms in 1.0 mi2028-02-04-03-00_files/i0170001.jpg c. 150,000 organisms in 4.0 mi2028-02-04-03-00_files/i0170002.jpg d. 100,000 organisms in 0.5 mi2028-02-04-03-00_files/i0170003.jpg

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## Question:

Which of the following samples has the greatest population density? a. 125,000 organisms in 2.5 mi2028-02-04-03-00_files/i0170000.jpg b. 13,000 organisms in 1.0 mi2028-02-04-03-00_files/i0170001.jpg c. 150,000 organisms in 4.0 mi2028-02-04-03-00_files/i0170002.jpg d. 100,000 organisms in 0.5 mi2028-02-04-03-00_files/i0170003.jpg

Answer:  the correct choice is d) 100000 organisms in 0.5 miles.

Explanation: Population density is directly proportional to the number of species(organisms) and inversely proportional to the land area.

population density = number of organisms/land area

Let’s plug in the values for all the choices and see which one gives greatest population density.

a) population density =  = 50000

b) population density =  = 13000

c) population density =  = 37500

d) population density =  = 200000

From above calculations, the greatest population density(200000 organism per mile) is for the last choice.

So, the correct choice is d) 100000 organisms in 0.5 miles.

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