Answer :
The first thing we are going to do is find the area of the field. To do this we are going to use the area of a square formula: [tex]A=s^2[/tex]
Were
[tex]A[/tex] is the area in square kilometers
[tex]s[/tex] is one of the sides of the square
We know for our problem that the side lengths of the field are 0.9 kilometers, so [tex]s=0.9[/tex]. Lets replace that value in our formula to find [tex]A[/tex]:
[tex]A=(0.9)^2[/tex]
[tex]A=0.81[/tex]
Now, to find the population density of the filed, we are going to use the population density formula: [tex]P_{d}= \frac{I}{A} [/tex]
where
[tex]P_{d}[/tex] is the population density in in burrows per square kilometer
[tex]I[/tex] is the number of burrows
[tex]A[/tex] is the are of the field
We know that [tex]I=1980[/tex] and [tex]A=0.81[/tex], so lets replace those values in our formula:
[tex]P_{d}= \frac{1980}{0.81} [/tex]
[tex]P_{d}=2444.4[/tex]
We can conclude that the density of prairie dog burrows is approximately 2444 burrws per square kilometer.
Were
[tex]A[/tex] is the area in square kilometers
[tex]s[/tex] is one of the sides of the square
We know for our problem that the side lengths of the field are 0.9 kilometers, so [tex]s=0.9[/tex]. Lets replace that value in our formula to find [tex]A[/tex]:
[tex]A=(0.9)^2[/tex]
[tex]A=0.81[/tex]
Now, to find the population density of the filed, we are going to use the population density formula: [tex]P_{d}= \frac{I}{A} [/tex]
where
[tex]P_{d}[/tex] is the population density in in burrows per square kilometer
[tex]I[/tex] is the number of burrows
[tex]A[/tex] is the are of the field
We know that [tex]I=1980[/tex] and [tex]A=0.81[/tex], so lets replace those values in our formula:
[tex]P_{d}= \frac{1980}{0.81} [/tex]
[tex]P_{d}=2444.4[/tex]
We can conclude that the density of prairie dog burrows is approximately 2444 burrws per square kilometer.
The density is 2,444.4 prairie dogs per km²
What is the approximate density of prairie dog burrows in burrows per square kilometer?
The area of the square field is:
A = (0.9 km)*(0.9 km) = 0.81 km².
And the total number of 1,980 prairie dogs there, then the density of prairie dogs per square kilometer is:
D = (1,980 prairie dogs)/(0.81 km²) = 2,444.4 prairie dogs per km²
The density is 2,444.4 prairie dogs per km²
If you want to learn more about density:
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