A scientist samples a deer population and fins 200 deer in an area of 10 square miles. On average, how many deer can the scientist expect to find in an area of 300 square miles
To find the average number of deer in an area of 300 square miles, we can set up a proportion using the information given.
Let x be the average number of deer in an area of 300 square miles.
The proportion can be written as:
200 deer / 10 square miles = x deer / 300 square miles
To solve for x, we can cross multiply:
10 * x = 200 * 300
10 * x = 60,000
Dividing both sides by 10:
x = 6,000
Therefore, the scientist can expect to find an average of 6,000 deer in an area of 300 square miles.
To determine the average number of deer in an area of 300 square miles, we can use proportions.
We know that in a 10 square mile area, there are 200 deer. Let's set up a proportion to find the average number of deer in a 300 square mile area:
(Deer in 10 sq. miles) / (Area of 10 sq. miles) = (Deer in 300 sq. miles) / (Area of 300 sq. miles)
200 / 10 = (Deer in 300 sq. miles) / 300
Cross-multiply the proportion:
200 * 300 = 10 * (Deer in 300 sq. miles)
60,000 = 10 * (Deer in 300 sq. miles)
Divide both sides by 10 to solve for the number of deer in a 300-square-mile area:
Deer in 300 sq. miles = 60,000 / 10
Deer in 300 sq. miles = 6,000 deer
Therefore, the scientist can expect to find about 6,000 deer in an area of 300 square miles.
To answer this question, we can use the concept of population density.
Population density is defined as the number of individuals within a specific area. In this case, the scientist found 200 deer in an area of 10 square miles. Population density can be calculated by dividing the number of individuals by the area in which they are found.
Population density = Number of individuals / Area
So, the population density in the given scenario is 200 deer / 10 square miles = 20 deer per square mile.
Now, we can use this population density value to estimate the number of deer in a larger area of 300 square miles.
Number of deer = Population density × Area
Number of deer = 20 deer per square mile × 300 square miles
Number of deer = 6000 deer
Therefore, the scientist can expect to find 6000 deer in an area of 300 square miles.