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
320 deer
320 deer
20 deer
20 deer
6,000 deer
6,000 deer
60,000 deer
To answer this question, we need to determine the average number of deer per square mile, and then multiply that by the number of square miles in the larger area.
The scientist found 200 deer in 10 square miles, so the average number of deer per square mile is 200/10 = 20 deer.
The scientist is looking at an area of 300 square miles, so the expected number of deer is 20 deer per square mile * 300 square miles = 6,000 deer.
Therefore, the scientist can expect to find 6,000 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 given information.
The scientist found 200 deer in an area of 10 square miles.
Let's set up the proportion:
200 deer / 10 square miles = x deer / 300 square miles
To solve for x, we can cross multiply and then divide:
(200 deer) * (300 square miles) = (10 square miles) * (x deer)
60000 = 10x
Dividing both sides by 10 gives:
6000 = x
Therefore, the scientist can expect to find an average of 6,000 deer in an area of 300 square miles.
To find the answer to this question, we can use the concept of population density. Population density is the number of individuals per unit of area. In this case, we know that the scientist found 200 deer in an area of 10 square miles.
To calculate the population density, we divide the number of deer (200) by the area (10 square miles):
Population density = 200 deer / 10 square miles = 20 deer per square mile
Now, we can use this population density to estimate the number of deer in a different area. The given area is 300 square miles.
To estimate the number of deer, we multiply the area (300 square miles) by the population density (20 deer per square mile):
Number of deer = 300 square miles * 20 deer per square mile = 6,000 deer
Therefore, the scientist can expect to find approximately 6,000 deer in an area of 300 square miles. So the correct answer is "6,000 deer".