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

193.630

Explanation:

Given : The biologist counts 152 salamanders

The radius of pond is
`(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 * ((1)/(2)^2)`

=
`0.785`

So,
`\text{Population Density}=(152)/(0.785)`

`\text{Population Density}=193.630`

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