A scientist samples a deer population and finds 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?(1 point)
Responses
6,000 deer
6,000 deer
60,000 deer
60,000 deer
20 deer
20 deer
320 deer
To find the average number of deer in an area of 300 square miles, we can use the concept of proportionality.
Since the number of deer is directly proportional to the area, we can set up a proportion:
(Number of deer) / (Area) = (Number of deer) / (Area)
We can use the initial sample data to set up the proportion:
200 deer / 10 square miles = (Number of deer) / 300 square miles
Now, we can solve for the unknown value:
(200 deer / 10 square miles) * 300 square miles = Number of deer
20 deer per square mile * 300 square miles = Number of deer
6000 deer = Number of deer
Therefore, the scientist can expect to find 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. So, the population density is 200 deer divided by 10 square miles, which is 20 deer per square mile.
To find the expected number of deer in an area of 300 square miles, we need to multiply the population density of 20 deer per square mile by the area of 300 square miles:
20 deer/square mile * 300 square miles = 6000 deer.
Therefore, the scientist can expect to find approximately 6000 deer in an area of 300 square miles. So, the correct answer is:
6,000 deer.