Question

A biologist is researching the population density of salamanders near a pond. The biologist counts 152 salamanders within a radius of 1/2 mi of the pond. What is the population density of salamanders?

Answer 1

194 salamanders/mi^2

Answer 2

Answer:

193.630

Step-by-step explanation:

Given : The biologist counts 152 salamanders

            The radius of pond is $\frac{1}{2}$  miles

To Find:  population density of salamanders

Solution:

$\text{Population Density}=\frac{\text{Population size}}{\text{Area}}$

So, Population size = 152 salamanders

Area of pond = $\pi r^2$

                      = $3.14 \times (\frac{1}{2}^2)$

                      = $0.785$

So, $\text{Population Density}=\frac{152}{0.785}$

$\text{Population Density}=193.630$

So, The population density of salamanders is 193.630  salamander per miles sq.