+595 A biologist is researching the population density of lizards near a boulder in a desert. The biologist counts 15 lizards within a radius of 14 mi of the boulder.
What is the population density of lizards?
Use 3.14 for pi and round only your final answer to the nearest whole number.
+14995 A biologist is researching the population density of lizards near a boulder in a desert. The biologist counts 15 lizards within a radius of 14 mi of the boulder.
What is the population density of lizards?
Use 3.14 for pi and round only your final answer to the nearest whole number.
\(The \ population \ density \ of \ lizards \ is\)
\(= \frac{15\ lizards }{2\times 3.14 \times {14}^2 square\ miles} = ( \frac{15}{1230.88}=0.012)\frac{ lizards }{square\ mile} \)
\( \approx 1 \frac {1 lizard }{square \ mile}\)
!
sine 
\(= \frac{15\ lizards }{ 3.14 \times {14}^2 square\ miles} = ( \frac{15}{615.44}=0.0244)\frac{ lizards }{square\ mile} \)
\(\approx 1 \frac {1 lizard }{square \ mile} \)
asinus
This isn’t a sustainable population. It’s probably 1/4 mile radius.
15/(3.14*.252) = 76.43
76 lizards per square mile.
+20 Note that Density = \(\frac{\text{population}}{\text{area}}\)
As stated in the question, there are 15 lizards, and the area of the circle that surrounds the boulder is simply \(14^2\times\pi\)or \(196\pi\)Thus the answer is \(\frac{15}{196\pi} \approx \frac{1}{41.0293333}\)
