a scientist samples a deer population and finds 200 deer in an area of 10 square miles. on average how many deers can the scientist expect to find in an are of 300 square miles? Show your work
A 20
B 6,000
C 60,000
D 320
To find the average number of deer in an area of 300 square miles, we can use the concept of proportion.
The area of the first sample = 10 square miles
Number of deer in the first sample = 200
Let's assume the average number of deer in the larger area is represented by x.
Now, we can set up a proportion:
(200 deer) / (10 square miles) = x / (300 square miles)
To solve for x, we can cross multiply:
200 * 300 = 10 * x
60,000 = 10x
Divide both sides by 10:
6,000 = x
Therefore, the scientist can expect to find an average of 6,000 deer in an area of 300 square miles.
The answer is B) 6,000.