Question

which of the following samples has the greatest population density?
a. 125,000 organisms in $2.5\\ \text{mi}^2$
b. 13,000 organisms in $1.0\\ \text{mi}^2$
c. 150,000 organisms in $4.0\\ \text{mi}^2$
d. 100,000 organisms in $0.5\\ \text{mi}^2$

please select the best answer from the choices provided

\\(\bigcirc\\) a
\\(\bigcirc\\) b
\\(\bigcirc\\) c
\\(\bigcirc\\) d

Explanation:

Step1: Calculate density for option a

$\text{Density}_a = \frac{125000}{2.5} = 50000$ organisms/mi²

Step2: Calculate density for option b

$\text{Density}_b = \frac{13000}{1.0} = 13000$ organisms/mi²

Step3: Calculate density for option c

$\text{Density}_c = \frac{150000}{4.0} = 37500$ organisms/mi²

Step4: Calculate density for option d

$\text{Density}_d = \frac{100000}{0.5} = 200000$ organisms/mi²

Step5: Compare all densities

$200000 > 50000 > 37500 > 13000$

Answer:

d. 100,000 organisms in 0.5 mi²