A scientist samples, a deer population in fines 200 deers 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 solve this problem, we need to calculate the density of the deer population and then use that density to estimate the number of deer in a larger area.
The density of the deer population is calculated by dividing the number of deer by the area:
Density = Number of deer / Area
Density = 200 deers / 10 square miles = 20 deer per square mile
Now, we can use this density to estimate the number of deer in a larger area of 300 square miles:
Number of deer = Density * Area
Number of deer = 20 deer per square mile * 300 square miles = 6000 deer
Therefore, the scientist can expect to find approximately 6000 deer 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 ratio of the deer population to the area covered.
Let's denote the average number of deer in an area of 300 square miles as x.
We can set up the proportion as follows:
200 deer / 10 square miles = x deer / 300 square miles
To solve for x, we can cross multiply:
200 * 300 = 10 * x
Simplifying:
60,000 = 10x
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 the scientist can expect to find in an area of 300 square miles, we can use the concept of population density.
Population density is calculated by dividing the total population by the area. In this case, the scientist sampled a deer population of 200 deer in an area of 10 square miles. Therefore, the population density is 200 deer divided by 10 square miles, which equals 20 deer per square mile.
To find the expected number of deer in an area of 300 square miles, we can multiply the population density by the area. So, the expected number of deer can be calculated as follows:
Expected number of deer = Population density * Area
Expected number of deer = 20 deer per square mile * 300 square miles
Expected number of deer = 6000 deer
Therefore, the scientist can expect to find approximately 6000 deer in an area of 300 square miles, based on the given information.