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?

Respuesta :

194 salamanders/mi^2









Answer:

193.630

Step-by-step explanation:

Given : The biologist counts 152 salamanders

            The radius of pond is [tex]\frac{1}{2}[/tex]  miles

To Find:  population density of salamanders

Solution:

[tex]\text{Population Density}=\frac{\text{Population size}}{\text{Area}}[/tex]

So, Population size = 152 salamanders

Area of pond = [tex]\pi r^2[/tex]

                      = [tex]3.14 \times (\frac{1}{2}^2)[/tex]

                      = [tex]0.785[/tex]

So, [tex]\text{Population Density}=\frac{152}{0.785}[/tex]

[tex]\text{Population Density}=193.630[/tex]

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